Basic Math Examples

$\frac{\sqrt{45}}{7} + \frac{2}{7}$

Step 1

Combine the numerators over the common denominator.

$\frac{\sqrt{45} + 2}{7}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $45$ as $3^{2} \cdot 5$ .

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Step 2.1.1

Factor $9$ out of $45$ .

$\frac{\sqrt{9 (5)} + 2}{7}$

Step 2.1.2

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2} \cdot 5} + 2}{7}$

Step 2.2

Pull terms out from under the radical.

$\frac{3 \sqrt{5} + 2}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \sqrt{5} + 2}{7}$

Decimal Form:

$1.24402913 \dots$