What is expand (sqrt(c)(\sqrt[4]{c}+sqrt(c)))/c ?

The solution to expand (sqrt(c)(\sqrt[4]{c}+sqrt(c)))/c is 1/(c^{1/4)}+1

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expand (sqrt(c)(\sqrt[4]{c}+sqrt(c)))/c

expand

\frac{1}{c ^{\frac{1}{4}}} + 1

Solution steps

Expand

= \frac{c ^{\frac{3}{4}} + c}{c}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{c ^{\frac{3}{4}} + c}{c} = \frac{c ^{\frac{3}{4}}}{c} + \frac{c}{c}

= \frac{c ^{\frac{3}{4}}}{c} + \frac{c}{c}

Apply rule

\frac{a}{a} = 1

\frac{c}{c} = 1

= \frac{c ^{\frac{3}{4}}}{c} + 1

Cancel

\frac{c ^{\frac{3}{4}}}{c} : \frac{1}{c ^{\frac{1}{4}}}

= \frac{1}{c ^{\frac{1}{4}}} + 1

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What is expand (sqrt(c)(\sqrt[4]{c}+sqrt(c)))/c ?
The solution to expand (sqrt(c)(\sqrt[4]{c}+sqrt(c)))/c is 1/(c^{1/4)}+1