Write the Fraction in Simplest Form square root of 25/9

$\sqrt{\frac{25}{9}}$

Rewrite $\sqrt{\frac{25}{9}}$ as $\frac{\sqrt{25}}{\sqrt{9}}$ .

$\frac{\sqrt{25}}{\sqrt{9}}$

Simplify the numerator.

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

$\frac{\sqrt{5^{2}}}{\sqrt{9}}$

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

$\frac{5}{\sqrt{9}}$

Simplify the denominator.

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

$\frac{5}{\sqrt{3^{2}}}$

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

$\frac{5}{3}$