What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x) A) -5(^3√2x B)5(^3√x C) ^3√2x-6(^3√x D) -(^3√2x)-6(3√x)

asked Jan 10, 2019 234k views

3 votes

What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)

A) -5(^3√2x

B)5(^3√x

C) ^3√2x-6(^3√x

D) -(^3√2x)-6(3√x)

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7 votes

Given expression:
$7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}$

$7\sqrt[3]{2x}=7\sqrt[3]{2}\sqrt[3]{x}$

$3\sqrt[3]{16x}=6\sqrt[3]{2}\sqrt[3]{x}$

$3\sqrt[3]{8x}=6\sqrt[3]{x}$

$=7\sqrt[3]{2}\sqrt[3]{x}-6\sqrt[3]{2}\sqrt[3]{x}-6\sqrt[3]{x}$

$=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}$

$\mathrm{Add\:similar\:elements:}$

$=\sqrt[3]{2x}-6\sqrt[3]{x}$

Therefore, correct option is C)
$\sqrt[3]{2x}-6\sqrt[3]{x}$ .

Iwtu answered Jan 16, 2019

by Iwtu

6.7k points

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