Algebra Examples

$\frac{3}{4} + \sqrt{64}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $64$ as $8^{2}$ .

$\frac{3}{4} + \sqrt{8^{2}}$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{3}{4} + 8$

Step 2

To write $8$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{4} + 8 \cdot \frac{4}{4}$

Step 3

Combine $8$ and $\frac{4}{4}$ .

$\frac{3}{4} + \frac{8 \cdot 4}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 + 8 \cdot 4}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $8$ by $4$ .

$\frac{3 + 32}{4}$

Step 5.2

Add $3$ and $32$ .

$\frac{35}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{4}$

Decimal Form:

$8.75$

Mixed Number Form:

$8 \frac{3}{4}$