Basic Math Examples

$35 \sqrt{18} \div 7 \sqrt{6}$

Step 1

Rewrite the division as a fraction.

$\frac{35 \sqrt{18}}{7 \sqrt{6}}$

Step 2

Cancel the common factor of $35$ and $7$ .

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Step 2.1

Factor $7$ out of $35 \sqrt{18}$ .

$\frac{7 (5 \sqrt{18})}{7 \sqrt{6}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $7 \sqrt{6}$ .

$\frac{7 (5 \sqrt{18})}{7 (\sqrt{6})}$

Step 2.2.2

Cancel the common factor.

$\frac{7 (5 \sqrt{18})}{7 \sqrt{6}}$

Step 2.2.3

Rewrite the expression.

$\frac{5 \sqrt{18}}{\sqrt{6}}$

$\frac{5 \sqrt{18}}{\sqrt{6}}$

$\frac{5 \sqrt{18}}{\sqrt{6}}$

Step 3

Combine $\sqrt{18}$ and $\sqrt{6}$ into a single radical.

$5 \sqrt{\frac{18}{6}}$

Step 4

Divide $18$ by $6$ .

$5 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{3}$

Decimal Form:

$8.66025403 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$