Numerical Ability>Arithmetic>Number Systems>Squares and Square Roots

Squares and Square Roots

IMPORTANT

Squares and Square Roots: Overview

This topic covers concepts, such as, Square of a Number, Square Root of a Number, Squares and Square Roots & Duplex Combination Process to Find Squares etc.

Important Questions on Squares and Square Roots

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Numerical Ability>Number Systems>Squares and Square Roots> Q 1

Square root of $117649$ is

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Numerical Ability>Number Systems>Squares and Square Roots> Q 2

What should come in place of question mark $(?)$ in the following question $?$

$A ² = 676, A = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 3

The square root of $11 - \sqrt{120}$ is given by

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Numerical Ability>Number Systems>Squares and Square Roots> Q 4

Find the square of the following number using duplex method

$198$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 5

Match List $I$ with List $II$ and select the correct answer using the codes given below:

List $I$	List $II$
$A .) \sqrt{16} + \sqrt{8} + \sqrt{4} + \sqrt{2}$	$1 .) 6 + 2 \sqrt{3}$
$B .) \sqrt{81} + \sqrt{8} - \sqrt{9} + \sqrt{2}$	$2 .) 6 + 3 \sqrt{2}$

HARD

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Numerical Ability>Number Systems>Squares and Square Roots> Q 6

Match List $I$ with List $II$ and select the correct answer using the codes given below:

List $I$	List $II$
$A .) \sqrt{144} + \sqrt{32} - \sqrt{81} + \sqrt{2}$	$1 .) 1 + 5 \sqrt{5}$
$B .) \sqrt{121} + \sqrt{18} - \sqrt{64} + \sqrt{8}$	$2 .) 6 + 3 \sqrt{2}$
$C .) \sqrt{144} + \sqrt{45} - \sqrt{121} + \sqrt{20}$	$3 .) 3 + 5 \sqrt{2}$

HARD

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Numerical Ability>Number Systems>Squares and Square Roots> Q 7

What should come in the place of $(?)$ for the expression given below?

$\sqrt{3.4 + \sqrt{0.3 + \sqrt{0.0036}}} - \sqrt{4.6 - \sqrt{0.3 + \sqrt{0.0036}}} = ?$

HARD

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Numerical Ability>Number Systems>Squares and Square Roots> Q 8

What should come in the place of $(?)$ for the expression given below?

$\sqrt{2 (\frac{40 + \sqrt{400} + \sqrt{16}}{({(\sqrt{2})}^{2} + {(\sqrt{3})}^{2} + \sqrt{3^{2}})})} = ?$

HARD

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Numerical Ability>Number Systems>Squares and Square Roots> Q 9

What should come in the place of $(?)$ for the expression given below?

$\sqrt{\frac{116 + \sqrt{25}}{600 + \sqrt{625}}} + \sqrt{\frac{110 + \sqrt{121}}{\sqrt{625}}} = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 10

What should come in the place of $(?)$ for the expression given below?

$99^{2} = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 11

What should come in the place of $(?)$ for the expression given below?

$88^{2} = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 12

What should come in the place of $(?)$ for the expression given below?

$53^{2} = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 13

What should come in the place of $(?)$ for the expression given below?

$23^{2} = ?$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 14

Simplify & find $x^{2} .$

$\sqrt{32 \div 16 o f (12 + 18) + 64 \div \frac{4}{3} o f 12 = x}$

MEDIUM

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Numerical Ability>Number Systems>Squares and Square Roots> Q 15

Simplify & find $x$

$\sqrt{100 * (\sqrt{64 o f \frac{1}{42}} + 84 o f \frac{1}{\sqrt{1764}})} = x^{2}$ .

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Numerical Ability>Number Systems>Squares and Square Roots> Q 16

Simplify $\frac{\sqrt{\sqrt{196} o f \frac{1}{56} +} \sqrt{36 o f \frac{1}{\sqrt{16}}}}{\sqrt{6084}}$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 17

Find squre root of $67 + 16 \sqrt{3} .$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 18

Find square root of ${(\frac{1}{18 + 8 \sqrt{2}})}^{- 1}$ .

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Numerical Ability>Number Systems>Squares and Square Roots> Q 19

Simplify $\frac{\sqrt{\frac{121}{44} o f 11 \div \sqrt{\frac{36}{39} o f \sqrt{1521}}}}{\sqrt{63 + \sqrt{1 + \sqrt{1296}}}}$

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Numerical Ability>Number Systems>Squares and Square Roots> Q 20

Simplify $\frac{24 o f \sqrt{3 o f 10 + \sqrt{144}} - 12 o f \frac{1}{6}}{\sqrt{576} o f \frac{1}{8} + \sqrt{625 o f \frac{1}{25}}}$