Question

I need help ASAP !!

Answer 1

The correct option is (B).

Explanation:

The given statement is :

`\sqrt[4]{2} =2^{(1)/(4)}`

We need to select the correct simplification for this.

We know that,
`\sqrt[a]{x} =x^{(1)/(a)}`

So,

`\sqrt[4]{2} =(2)^{(1)/(4)}`

Also,
`(x^a)^b=x^(a* b)`

So,

`(2^{(1)/(4)})^4=2^{(1)/(4)}* 2^{(1)/(4)}* 2^{(1)/(4)}* 2^{(1)/(4)}\\\\=2^{(1)/(4)+(1)/(4)+(1)/(4)+(1)/(4)}\\\\=2^1\\\\=2`

So, these are the steps. Hence, the correct option is (B).