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Exercise

$3\left(\sqrt{\frac{216}{27}}\right)$

Step-by-step Solution

1

Divide $216$ by $27$

$3\sqrt{8}$
2

Rewrite $8$ as a power

$3\sqrt{2^{3}}$
3

Split $2^{3}$ as a product of powers of $2$

$3\sqrt{22^{2}}$
4

The power of a product is equal to the product of it's factors raised to the same power

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

Multiply $3$ times $2$

$6\sqrt{2}$

Final answer to the exercise

$6\sqrt{2}$

Exact Numeric Answer

$8.485282$

Try other ways to solve this exercise

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Similar Questions Solved

$\sqrt{2}\cdot\sqrt{18}$

$\sqrt{3}\cdot\sqrt{15}$

$2\sqrt[3]{625}$

$\sqrt[5]{2^{10}}\cdot\sqrt{3^4}$

$\sqrt{\frac{27}{125}}\left(\sqrt[3]{\frac{9}{25}}\right)$

$\left(\sqrt{2}\cdot\sqrt{8}\right)$

$\sqrt{14}\cdot\sqrt{5}$

Main Topic: Product of Radicals

The product of radicals is an expression that involves the multiplication of two or more radicals.

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