Question

Cube root 5 × square root 2

Answer 1

Answer:

5×5×5 ×

$\sqrt{2}$

$125 \sqrt{5}$

Answer 2

$\sqrt[3]{5} \cdot \sqrt{2}$

Simplify $\sqrt[3]{5} \cdot \sqrt{2}$

Rewrite the expression using the least common index of  6.

$\sqrt[6]{5^2}\cdot\sqrt[6]{2^3}$

Combine using the product rule for radicals.

$\sqrt[6]{5^2\cdot2^3}$

Raise  5  to the power of  2.

$\sqrt[6]{25\cdot2^3}$

Raise 2 to the power of 3.

$\sqrt[6]{25\cdot8}$

Multiply  25  by  8.

$\sqrt[6]{200}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt[6]{200}$

Decimal Form:

$2.41827117...$