Solve sqrt{21/4}+1/2sqrt{036}

$$\sqrt { 2 \frac { 1 } { 4 } } + \frac { 1 } { 2 } \sqrt { 036 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\sqrt{\frac{8+1}{4}}+\frac{1}{2}\sqrt{0\times 36}$$

Add 8 and 1 to get 9.

$$\sqrt{\frac{9}{4}}+\frac{1}{2}\sqrt{0\times 36}$$

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{3}{2}+\frac{1}{2}\sqrt{0\times 36}$$

Multiply 0 and 36 to get 0.

$$\frac{3}{2}+\frac{1}{2}\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$\frac{3}{2}+\frac{1}{2}\times 0$$

Multiply \frac{1}{2} and 0 to get 0.

$$\frac{3}{2}+0$$

Add \frac{3}{2} and 0 to get \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$