Practice Questions: Square Root & Cube Root | IBPS PO Prelims & Mains Preparation - Bank Exams PDF Download

Introduction

Square roots and cube roots are important for bank exams like IBPS PO, SBI Clerk, and RBI Assistant. These questions test your ability to quickly solve root problems and simplify expressions. Mastering these concepts will help you score better in the math section.

Here are 10 practice questions with solutions to help you prepare.

Practice Questions

1. What is the square root of 1764?

Solution:
We know that 42 × 42 = 1764.
So, the square root of 1764 is 42.
Answer: 42

2. What is the cube root of 3375?

Solution:
We know that 15 × 15 × 15 = 3375.
So, the cube root of 3375 is 15.
Answer: 15

3. Simplify: √64 + ∛125 - √16

Solution:
√64 = 8
∛125 = 5
√16 = 4
Now, 8 + 5 - 4 = 9
Answer: 9

4. If √x = 13, what is x?

Solution:
To find x, square both sides:
x = 13 × 13 = 169
Answer: 169

5. What is the smallest number to multiply by 180 to make it a perfect square?

Solution:
First, factorize 180:
180 = 2 × 2 × 3 × 3 × 5
To make a perfect square, we need another 5.
So, multiply by 5.
Answer: 5

6. What is the cube root of 0.027?

Solution:
We know 0.3 × 0.3 × 0.3 = 0.027
So, the cube root is 0.3.
Answer: 0.3

7. Simplify: √625 ÷ ∛125 × √81

Solution:
√625 = 25
∛125 = 5
√81 = 9
Now, 25 ÷ 5 × 9 = 5 × 9 = 45
Answer: 45

8. If ∛y = 7, what is y?

Solution:
To find y, cube both sides:
y = 7 × 7 × 7 = 343
Answer: 343

9. What is the square root of 1.44?

Solution:
We know 1.2 × 1.2 = 1.44
So, the square root is 1.2.
Answer: 1.2

10. Simplify: (√144 × ∛64) - (√49 × ∛27)

Solution:
√144 = 12
∛64 = 4
√49 = 7
∛27 = 3
Now, (12 × 4) - (7 × 3) = 48 - 21 = 27
Answer: 27

Tips for Success

1. Memorize squares and cubes of numbers 1 to 30

2. Practice simplification of root expressions

3. Learn prime factorization to find roots faster

4. Work on speed - bank exams are time-sensitive