A Square and a Cube Class 8 Short Question Answer

A Square and a Cube Class 8 Short Question Answer

A Square and a Cube Class 8 Short Question Answer

Question 1.

Find the square of 101 using distributive property.

Solution:

(101)² = (100 + 1)² = 100² + 2 × 100 + 1

= 10000 + 200 + 1

= 10201.

Question 2.

Find the square root of 256.

Solution:

256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

So, square root of 256 = 2 × 2 × 2 × 2 = 16

Question 3.

Find the least number by which 18816 should be multiplied so that the product is a perfect square.

Solution:

So, 18816 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7

So, least number by which the given number be multiplied = 2 × 3 = 6

Question 4.

Find the cube root of 9261.

Solution:

9261 = 3 × 3 × 3 × 7 × 7 × 7

So, cube root of 9261 is 3 × 7 = 21.

Question 5.

Which least number should 5324 be multiplied to make it a perfect cube.

Solution:

5324 = 2 × 2 × 11 × 11 × 11

So, the required least number is 2.