Question

Find the smallest number by which 9408 must be divided so that the quotient is a perfect square find square rootof quotient

Answer 1

Answer:

3136

Step-by-step explanation:

By prime factorization, we get

9408 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 7 * 7

Here 2 and 7 are in pairs, But 3 needs a pair.Thus,3 can become pair after dividing 9408 with 3.

So, 9408 will become a perfect square after dividing it by 3.

Therefore the smallest number is 3.

9408/3 = 3136