Arrange the following in the descending order 23 - 21 ) , ( 19 - 17 ) , ( 21 - 19 .

19 - 17 ) > ( 21 - 19 ) > ( 23 - 21

23 - 21 ) > ( 21 - 19 ) > ( 19 - 17

23 - 21 ) > ( 19 - 17 ) > ( 21 - 19

21 - 19 ) > ( 23 - 21 ) > ( 19 - 17

Using square root table find the square root of the following up to 2 decimal places1183

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

What is the value of

2 + \sqrt{2 + \sqrt{2 + \sqrt{. . . . . . . . . .}}}

?

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

What is the square root of

23 - 4 \sqrt{15}

?

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

How many numbers are there between

200

to

300

which are perfect cubes?

HARD

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

The LCM of two numbers is

168

and their HCF is

12

. If the difference between the numbers is

60

. What is the sum of the numbers?

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Which of the following is a perfect cube.

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Consider the following numbers:

$1 . 2222 2 . 11664 3 . 343343 4 . 220347$

Which of the above are not perfect squares?

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

What is the natural number n for which 39 +312 +315 + 3n is a perfect cube of an integer ?

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

The square root which of the following is a rational number?

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Arrange the following in the descending order $(\sqrt{23} - \sqrt{21}), (\sqrt{19} - \sqrt{17}), (\sqrt{21} - \sqrt{19})$ .

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

The cube root of

3375

equal to_____.

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

\sqrt[3]{a} = \sqrt[3]{9} + \sqrt[3]{126} + \sqrt[3]{217}

, then which of the following is correct?

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

What is the value of

\sqrt[3]{4 \frac{12}{125}}

?

HARD

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed

1 .0 m s^{- 1}

and the man behind walks at a speed

2 .0 m s^{- 1}

. A third man is standing at a height

12 m

above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency

1430 Hz

. The speed of sound in air is

330 m s^{- 1}

. At the instant, when the moving men are

10 m

apart, the stationary man is equidistant from them. The frequency of beats in

Hz

, heard by the stationary man at this instant, is __________.

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

A particle

A

of mass

m

and charge

q

is accelerated by a potential difference of

50 V .

Another particle

B

of mass

4 m

and charge

q

is accelerated by a potential difference of

2500 V .

The ratio of de-Broglie wavelengths

\frac{λ_{A}}{λ_{B}}

is close to:

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Find the square root of $6889$ by using Dwandwa Yoga Method.

MEDIUM

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

The students of a class donated a sum of

₹ 2, 809

to a fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

EASY

Mathematics>Algebra>Expressions and Equations>Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

The value of

\sqrt{40 + \sqrt{9 \sqrt{81}}}

is:

Using square root table, find the square root of the following (up to $2$ decimal places): $1183$

Important Questions on Expressions and Equations

Learn and Prepare for any exam you want !

Using square root table, find the square root of the following (up to 2 decimal places): 1183

Important Questions on Expressions and Equations

Learn and Prepare for any exam you want !

Using square root table, find the square root of the following (up to $2$ decimal places): $1183$