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QUESTION: 1

**Q.**

Solution:

⇒ x^{2 }= √331776

⇒ x^{2} = 576

⇒ x = √576

⇒ x = 24

QUESTION: 2

Solution:

QUESTION: 3

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?

Solution:

QUESTION: 4

The cube root of 0.000729 is

Solution:

QUESTION: 5

What is the least perfect square which is divisible by each of 21, 36 and 66?

Solution:

L.C.M. of 21, 36, 66 = 2772

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444

QUESTION: 6

Solution:

*= 12/11 x 11/15 x 15/14*

= 12/14

= 0.85

QUESTION: 7

Solution:

Using identity, (a-b)^{2} = a^{2} + b^{2} - 2ab

Here a = √7 and b = 1/√7

= (√7)^{2 }+ (1/√7)^{2} - 2. √7.1/√7

= 7 + 1/7 - 2

= 5 + 1/7

= 36/7

QUESTION: 8

The square root of 16641 is

Solution:

QUESTION: 9

Solution:

Squaring both side,

⇒ 0.0576 x a = 0.0576

⇒ a = 1

QUESTION: 10

Solution:

Squaring both side,

⇒ 0.000256 x a = 2.56

⇒ a = 2.56/0.000256

⇒ a = 10000

### Problem Set 1 : Square Root and Cube Root - Quantitative Aptitude

Video | 07:42 min

### Problem Set 2 : Square Root and Cube Root - Quantitative Aptitude

Video | 08:46 min

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