2 Answers

Greg Berger · Answer 1 · 2019-11-05T10:35:35+0000

Answer:

The simplified version of
$\sqrt[3]{135}$ is
$3\sqrt[3]{5}$ .

Explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{(1)/(n)}$

Using this property we get

$\sqrt[3]{135}=(135)^{(1)/(3)}$

$\sqrt[3]{135}=(27* 5)^{(1)/(3)}$

$\sqrt[3]{135}=(3^3* 5)^{(1)/(3)}$

$\sqrt[3]{135}=(3^3)^{(1)/(3)}* (5)^{(1)/(3)}$
$[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3* \sqrt[3]{5}$
$[\because \sqrt[n]{x}=(x)^{(1)/(n)}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of
$\sqrt[3]{135}$ is
$3\sqrt[3]{5}$ .

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