Trigonometry Examples

$\frac{7 \sqrt{10}}{2 \sqrt{5}}$

Step 1

Combine $\sqrt{10}$ and $\sqrt{5}$ into a single radical.

$\frac{7 \sqrt{\frac{10}{5}}}{2}$

Step 2

Cancel the common factor of $10$ and $5$ .

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Step 2.1

Factor $5$ out of $10$ .

$\frac{7 \sqrt{\frac{5 \cdot 2}{5}}}{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5$ .

$\frac{7 \sqrt{\frac{5 \cdot 2}{5 (1)}}}{2}$

Step 2.2.2

Cancel the common factor.

$\frac{7 \sqrt{\frac{5 \cdot 2}{5 \cdot 1}}}{2}$

Step 2.2.3

Rewrite the expression.

$\frac{7 \sqrt{\frac{2}{1}}}{2}$

Step 2.2.4

Divide $2$ by $1$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$4.94974746 \dots$