Solve sqrt{1+9/16}

$$\sqrt{ 1+ \frac{ 9 }{ 16 } }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Convert 1 to fraction \frac{16}{16}.

$$\sqrt{\frac{16}{16}+\frac{9}{16}}$$

Since \frac{16}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.

$$\sqrt{\frac{16+9}{16}}$$

Add 16 and 9 to get 25.

$$\sqrt{\frac{25}{16}}$$

Rewrite the square root of the division \frac{25}{16} as the division of square roots \frac{\sqrt{25}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$