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Anish Buchanan

Answered question

2021-08-12

To calculate: The simplification of the expression ,

\frac{4}{\sqrt{y}}

Gennenzip

Skilled2021-08-13Added 96 answers

Solution

Vasquez

Expert2021-12-16Added 669 answers

Multiply $\frac{4}{\sqrt{y}}$ by $\frac{\sqrt{y}}{\sqrt{y}}$

$\frac{4}{\sqrt{y}} \cdot \frac{\sqrt{y}}{\sqrt{y}}$

Combine and simplify the denominator.

Multiply $\frac{4}{\sqrt{y}}$ and $\frac{\sqrt{y}}{\sqrt{y}}$

$\frac{4 \sqrt{y}}{\sqrt{y} \sqrt{y}}$

Raise $\sqrt{y}$ to the power of 1

$\frac{4 \sqrt{y}}{{\sqrt{y}}^{1} \sqrt{y}}$

Raise $\sqrt{y}$ to the power of 1

$\frac{4 \sqrt{y}}{{\sqrt{y}}^{1} {\sqrt{y}}^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{4 \sqrt{y}}{{\sqrt{y}}^{1 + 1}}$

Add 1 and 1

$\frac{4 \sqrt{y}}{{\sqrt{y}}^{2}}$

Rewrite ${\sqrt{y}}^{2}$ as y.

$\frac{4 \sqrt{y}}{y}$

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