Question

smallest no. by which 9408 should be divided to get a perfect square

Answer 1

Answer:

3

Step-by-step explanation:

9408 is not a perfect square. In that case, let us factorise it to find the number to be divided

9408 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7

=>9408 = 2⁶ × 3 × 7²

Since 3 is the only number among the factors without any pair, we get our answer as 3.

To prove our answer, let us divide 9408 by 3 and check.

9408 ÷ 3 = 3136

On factorising 3136,

3136 = 2⁶ × 7²

=> $\sqrt{3136} =$ 2³ × 7 = 8 × 7 = 56

Since square root of 3136 is a rational number, it is a perfect square.

Hence, we can confirm that the smallest no. by which 9408 should be divided to get a perfect square  is 3.

PLEASE MARK BRAINLIEST