Question

Simplify 4 times the 4th root of 48

Answer 1

= 4 * 4th root 16 * 4th root 3

= 4 * 2 * 4th root 3

= 8 * 4th root 3

Answer 2

The simplified form is
`8\sqrt[4]{3}`.

Explanation:

Consider the provided expression.

`4\sqrt[4]{48}`

The above expression can be written as:

`4(48)^{(1)/(4)}`

The prime factors of 48 are:

48 = 2×2×2×2×3

Therefore,

`4(2* 2 *2 * 2 * 3)^{(1)/(4)}`

`4(2^4)^{(1)/(4)} * (3)^{(1)/(4)}`

`4*2* (3)^{(1)/(4)}`

`8*\sqrt[4]{3}`

`8\sqrt[4]{3}`

Hence, the simplified form is
`8\sqrt[4]{3}`.