What is 2 3/2 equal to?

Question

asked Jun 22, 2023 120k views

1 Answer

Dmitry Serov · Answer 1 · 2023-06-28T14:48:11+0000

Answer:

(a) √8

Explanation:

You want to know the radical equivalent to 2^(3/2).

The relationship of indices to radicals is ...

$\large{\sqrt[n]{a^m}}={a^{(m)/(n)}$

The given expression can be rewritten as ...

$2^{(3)/(2)}=\sqrt[2]{2^3}=\boxed{\sqrt[2]{8}}$

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Additional comment

When the index of the radical is 2, it is usually left off. The radical can be simplified by removing the perfect square factor.

$\sqrt[2]{8}=√(8)=2√(2)$