Question

what is the smallest number that can be multiply to 5400 to give a perfect saquare?​

Answer 1

Answer : -

Prime factorising 5400 , we get ...,

5400 = 3 × 3 × 3 × 5 × 5 × 2 × 2 × 2

=2³ × 3³ × 5²

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

Here , number of 2's is 3 , number of 3's is 3 and number of 5's is 2 ...

So we need to multiply another 5 to the factorization to make 5400 a perfect cube ...

Hence, the smallest number by which 5400 must be multiplied to obtain a perfect cube is 5 ...

I hope this answer will help you... ❣️