Chapter 3: Squares and Square Roots & Cubes and Cube Roots

Solution:-

We have,

= √(1.96)

= √(196/100)

= √((14 × 14)/(10 × 10))

= √(14² / 10²)

= 14/10

= 1.4

Solution:-

(1.2)³ = 12/10

= (12/10) × (12/10) × (12/10)

= 1728/1000

= 1.728

Solution:-

The cube of an odd number is always an odd.

Solution:-

The cube root of a number x is denoted by ³√x or x^1/3

Solution:-

The least number by which 125 be multiplied to make it a perfect square is 5.

125 = 5 × 5 × 5

Solution:-

The least number by which 72 be multiplied to make it a perfect cube is 3.

72 = 2 × 2 × 2 × 3 × 3

Solution:-

The least number by which 72 be divided to make it a perfect cube is 9.

Solution:-

Cube of a number ending in 7 will end in the digit 3.

In questions 49 to 86, state whether the statements are true (T) or false (F).

Solution:-

True.

The square of a number having 4 or 6 at the units place ends in 6.

Solution:-

False.

Let us take two perfect square 25 and 49.

Then, sum of the two perfect square = 25 + 49 = 74

So, 74 is not a perfect square.