Question

10.Find the smallest number by which 675 must be multiplied to obtained a perfect cube.​

Answer 1

Answer:

the answer is 5 on prime factorisation we will get that 5 is left unpaired so multiply it by 5 once you'll get 3375 the cube of 15

Answer 2

Answer:

Correct answer is 5

Prime factorising 675, we get,

675=5×5×3×3×3 =3cube x 5square

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

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

So we need to multiply another 5 in the factorization to make 675 a perfect cube.

Hence, the smallest number by which 675 must be multiplied to obtain a perfect cube is 5.