Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

HARD

Earn 100

Express the following square number as the sum of consecutive odd number.

$100$

Important Questions on Square and Cube

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

The value of

\sqrt{10 + \sqrt{24 + \sqrt{131 + \sqrt{153 + \sqrt{256}}}}}

is

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

What is the square root of

23 - 4 \sqrt{15}

?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

What is the value of

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

?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Prove that the product of

2

consecutive even numbers added to

1

gives a perfect square.

MEDIUM

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

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>Arithmetic>Square and Cube>Square Numbers and their Properties

\frac{\sqrt{50} + \sqrt{98}}{\sqrt{18}} = ?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

The smallest integer with

4

digits which is a perfect square is:

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Which is the smallest perfect square number exactly divisible by

4, 5, 6

and

9

?

HARD

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

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>Arithmetic>Square and Cube>Square Numbers and their Properties

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

MEDIUM

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

The unit digit in the expression

55^{725} + 73^{5810} + 22^{853}

is

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

What is the least number that should be added to the product of

7 \times 8 \times 9 \times 10

to make it a perfect square?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Consider the following numbers:

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

Which of the above are not perfect squares?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

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

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

The value of

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

is:

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Find the value of the following, using the diagonal method: $(137)^{2}$

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Solve:

$\sqrt{\frac{169}{225}}$

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Which of the following numbers is not a perfect square?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

Which of the following cannot be the unit digit of a perfect square number?

EASY

Mathematics>Arithmetic>Square and Cube>Square Numbers and their Properties

The smallest number that must be subtracted from

2800

so that obtained number is a perfect square is :