To calculate: The simplification of the expression \frac{7}{\sqrt[4]{z}}

allhvasstH 2021-08-14 Answered

To calculate: The simplification of the expression \(\frac{7}{\sqrt[4]{z}}\)
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okomgcae
Answered 2021-08-15 Author has 13799 answers
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Answered 2021-12-24 Author has 0 answers

Step 1

Given: \(\frac{7}{\sqrt[4]{z}}\)

To simplify the expression, rationalize the denominator and simplify the radical in the denominator

So,

\(\frac{7}{\sqrt[4]{z}}=\frac{7 \times \sqrt[4]{z^3}}{\sqrt[4]{z} \times \sqrt[4]{z^3}}\)

\(=\frac{7\sqrt[4]{z^3}}{\sqrt[4]{z^4}}\)

\(=\frac{7 \sqrt[4]{z^3}}{z}\)

Hence, the simplification of the given expression is

\(\frac{7 \sqrt[4]{z^3}}{z}\)

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