Question

what is a smallest number by which 1375 must be multiplied so that the product becomes a perfect cube find the required perfect cube so obtained​

Answer 1

$\huge\bold\red{Answer:}$

Here,we see that :

1375 = 5 × 5 × 5 × 11

[11 doesn't form a pair]

Required number for making 1375 as prefect cube = (11×11)

Thus,

1375 × 11 × 11 = 166375

$\sqrt[3]{166375} = \sqrt[3]{55 \times 55 \times 55}$

$\sqrt[3]{166375} = 55$