Basic Math Examples

${(\sqrt{y + 2})}^{2} + 5$

Step 1

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

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Step 1.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{y + 2}$ as ${(y + 2)}^{\frac{1}{2}}$ .

${({(y + 2)}^{\frac{1}{2}})}^{2} + 5$

Step 1.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(y + 2)}^{\frac{1}{2} \cdot 2} + 5$

Step 1.3

Combine $\frac{1}{2}$ and $2$ .

${(y + 2)}^{\frac{2}{2}} + 5$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Cancel the common factor.

${(y + 2)}^{\frac{2}{2}} + 5$

Step 1.4.2

Rewrite the expression.

${(y + 2)}^{1} + 5$

Step 1.5

Simplify.

$y + 2 + 5$

Step 2

Add $2$ and $5$ .

$y + 7$