What is the following sum? 5 x (RootIndex 3 StartRoot

Ответ:

dannyelleparker9680

19.01.2022

$7x\sqrt[3]{x^2y}$

Step-by-step explanation:

Given:

5 x (RootIndex 3 StartRoot x squared y EndRoot) + 2 (RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot)

Algebraic expression for the given problem is

$5x\sqrt[3]{x^2y} +2\sqrt[3]{x^5y}$

The second term = $2\sqrt[3]{x^5y} =2\sqrt[3]{x^3*x^2*y} =2\sqrt[3]{x^3}\sqrt[3]{x^2y}=2x \sqrt[3]{x^2y}\\$

So,

$5x\sqrt[3]{x^2y} +2\sqrt[3]{x^5y}$

= $5x\sqrt[3]{x^2y} +2x\sqrt[3]{x^2y}$ Take $\sqrt[3]{x^2y}$ as common

$\sqrt[3]{x^2y} \ (5x+2x)\\=7x\sqrt[3]{x^2y}$

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