Square and Cube Roots Quiz Set 018

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Question 1

What is the value of $√{3 + √1}$?

 A

2.

 B

√3.

 C

1.

 D

4.

Soln.
Ans: a

The given expression is same as $√{3 + √1^2}$, which becomes $√{3 + 1}$, or $√4$ which gives 2 as the answer. Please note that squares of as many numbers should be always on your tips.


Question 2

What is the value of $√{(22 - 4√2) × (22 + 4√2)}$?

 A

$√452$.

 B

$√22$.

 C

$√2$.

 D

$√11$.

Soln.
Ans: a

By inspection, we can easily see that the formula (a - b) × (a + b) can be used to simplify like this: $√{(22)^2 - (4√2)^2}$, which is same as $√{484 - (4^2 × 2)}$, which is same as $√{484 - 32}$ = $√452$.


Question 3

One-fourth of the square-root of which number is 0.7?

 A

7.84.

 B

8.64.

 C

8.49.

 D

6.64.

Soln.
Ans: a

Let the number be n. So ${1/4} × √n$ = 0.7, which gives $√n$ = 4 × 0.7 = 2.8. so n = $2.8^2$ = 7.84.


Question 4

If x = 0.7968, then what is the value of $4x + √{16x^2 - 8x + 1}$?

 A

1.

 B

16.

 C

8.

 D

2.

Soln.
Ans: a

By inspection, $4x + √{16x^2 - 8x + 1}$ is same as $4x + √{({1 - 4x})^2}$, which is same as 4x + (1 - 4x) = 1.


Question 5

What is √0.0081?

 A

0.09.

 B

0.9.

 C

0.009.

 D

0.0009.

Soln.
Ans: a

We can see that 0.09 × 0.09 = 0.0081, so square root is 0.09.


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Creative Commons License
This Blog Post/Article "Square and Cube Roots Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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