Solve sqrt{(3)(5)/2^2}

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

Evaluate

$$\frac{\sqrt{15}}{2}\approx 1.936491673$$

Solution Steps

Remove the parentheses around 3.

$$\sqrt{\frac{3\left(5\right)}{2^{2}}}$$

Remove the parentheses around 5.

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

Multiply 3 and 5 to get 15.

$$\sqrt{\frac{15}{2^{2}}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{\frac{15}{4}}$$

Rewrite the square root of the division \sqrt{\frac{15}{4}} as the division of square roots \frac{\sqrt{15}}{\sqrt{4}}.

$$\frac{\sqrt{15}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{15}}{2}$$