Question

find the smallest no to be multiplied by 98784 so that resultant has a square root.​

Answer 1

Answer:

Correct option is

A

3

Prime factorising 3087, we get,

3087=7×7×7×3×3

=7

3

×3

2

.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 7's is 3 and number of 3's is 2.

So we need to multiply another 3 to the factorization to make 3087 a perfect cube.

Hence, the smallest number by which 3087 must be multiplied to obtain a perfect cube is 3.

verified_toppr

Answer verified by Toppr

View

1485 Views