Solved: "To determine: Simplify the given expression"

Brennan Flores

Answered question

2021-08-11

To determine: Simplify the given expression

i1ziZ

Skilled2021-08-12Added 92 answers

Calculation:

2021-12-24

Calculation:

Step 1

a) Consider the following expression

$\sqrt[4]{3^{2}}$

Use the property of radicals

$\sqrt[n]{a^{m}} = (a)^{\frac{m}{n}}$

Therefore,

$\sqrt[4]{3^{2}} = (3)^{\frac{2}{4}}$

$= (3)^{\frac{1}{2}}$

$= \sqrt{3}$

Hence, the simplified expression is $\sqrt{3}$

b)Consider the following expression

$\sqrt[6]{(x + 1)^{4}}$

Use the property of radicals

$\sqrt[n]{a^{m}} = (a)^{\frac{m}{n}}$

Therofere,

$\sqrt[6]{(x + 1)^{4}} = (x + 1)^{\frac{4}{5}}$

$= (x + 1)^{\frac{2}{3}}$

$= \sqrt[3]{(x + 1)^{2}}$

Hence, the simplified expession is $\sqrt[3]{(x + 1)^{2}}$

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