Question

Simplify: cube root of 2 x cube root of 32​

Answer 1

Step-by-step explanation:

Explanation:

I'm wondering if you could call this a "simplification" but here it is "rewritten" in another form:

since

32

=

2

⋅

2

⋅

2

⋅

2

⋅

2

=

2

5

,

we can write:

3

√

32

=

3

√

2

5

=

2

3

(because

3

√

x

=

x

1

3

)

or if one absolutely wants to get some integer out of the root, we could write:

3√32=3√ 84

=3√23

4=2

3√4

Answer link

Answer 2

Answer:

$\sqrt[3]{2 \times \sqrt[3]{32}}\\\\=\sqrt[3]{2 \times \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2}}\\\\=\sqrt[3]{2 \times \sqrt[3]{2^3 \times 4 }}\\\\=\sqrt[3]{2 \times 2\sqrt[3]4}\\ = \sqrt[3]{4\sqrt[3]{4}}$

Step-by-step explanation: