Solve sqrt{27/4*144/3}

$$\sqrt { \frac { 27 } { 4 } \times \frac { 144 } { 3 } }$$

Evaluate

$$18$$

Solution Steps

Divide 144 by 3 to get 48.

$$\sqrt{\frac{27}{4}\times 48}$$

Express \frac{27}{4}\times 48 as a single fraction.

$$\sqrt{\frac{27\times 48}{4}}$$

Multiply 27 and 48 to get 1296.

$$\sqrt{\frac{1296}{4}}$$

Divide 1296 by 4 to get 324.

$$\sqrt{324}$$

Calculate the square root of 324 and get 18.

$$18$$

Factor

$$2\times 3^{2}$$