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I Need Help Please ??!!

I Need Help Please ??!!-example-1
User Beller
by
6.3k points

1 Answer

3 votes

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).

User Zeinab Abbasimazar
by
6.6k points