Evaluate - square root of 49/25

$- \sqrt{\frac{49}{25}}$

Step 1

Rewrite $\sqrt{\frac{49}{25}}$ as $\frac{\sqrt{49}}{\sqrt{25}}$ .

$- \frac{\sqrt{49}}{\sqrt{25}}$

Step 2

Simplify the numerator.

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

$- \frac{\sqrt{7^{2}}}{\sqrt{25}}$

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

$- \frac{7}{\sqrt{25}}$

Step 3

Simplify the denominator.

Rewrite $25$ as $5^{2}$ .

$- \frac{7}{\sqrt{5^{2}}}$

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

$- \frac{7}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{5}$

Decimal Form:

$- 1.4$

Mixed Number Form:

$- 1 \frac{2}{5}$