Finite Math Examples

$8 {(\sqrt{x + 2})}^{2} - 6$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

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

$8 {({(x + 2)}^{\frac{1}{2}})}^{2} - 6$

Step 1.1.2

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

$8 {(x + 2)}^{\frac{1}{2} \cdot 2} - 6$

Step 1.1.3

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

$8 {(x + 2)}^{\frac{2}{2}} - 6$

Step 1.1.4

Cancel the common factor of $2$ .

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Step 1.1.4.1

Cancel the common factor.

$8 {(x + 2)}^{\frac{2}{2}} - 6$

Step 1.1.4.2

Rewrite the expression.

$8 {(x + 2)}^{1} - 6$

Step 1.1.5

Simplify.

$8 (x + 2) - 6$

Step 1.2

Apply the distributive property.

$8 x + 8 \cdot 2 - 6$

Step 1.3

Multiply $8$ by $2$ .

$8 x + 16 - 6$

Step 2

Subtract $6$ from $16$ .

$8 x + 10$