Question

Find each of the following using prime

factorisation
(a)

`\sqrt[3]{3375}`

​

Answer 1

the answer would be 15

Answer 2

15

Explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

`\sqrt[3]{3375}`

=
`\sqrt[3]{3^3(5^3)}`

=
`\sqrt[3]{3^3}` ×
`\sqrt[3]{5^3}`

= 3 × 5

= 15