Trigonometry Examples

$\sqrt{\frac{44}{49}}$

Step 1

Rewrite $\sqrt{\frac{44}{49}}$ as $\frac{\sqrt{44}}{\sqrt{49}}$ .

$\frac{\sqrt{44}}{\sqrt{49}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $44$ as $2^{2} \cdot 11$ .

Tap for more steps...

Step 2.1.1

Factor $4$ out of $44$ .

$\frac{\sqrt{4 (11)}}{\sqrt{49}}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{2^{2} \cdot 11}}{\sqrt{49}}$

Step 2.2

Pull terms out from under the radical.

$\frac{2 \sqrt{11}}{\sqrt{49}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $49$ as $7^{2}$ .

$\frac{2 \sqrt{11}}{\sqrt{7^{2}}}$

Step 3.2

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

$\frac{2 \sqrt{11}}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{11}}{7}$

Decimal Form:

$0.94760708 \dots$