Solve sqrt{2*450*190/7200}

$$\sqrt { \frac { 2 \cdot 450 \cdot 190 } { 7200 } }$$

Evaluate

$$\frac{\sqrt{95}}{2}\approx 4.873397172$$

Solution Steps

Multiply 2 and 450 to get 900.

$$\sqrt{\frac{900\times 190}{7200}}$$

Multiply 900 and 190 to get 171000.

$$\sqrt{\frac{171000}{7200}}$$

Reduce the fraction \frac{171000}{7200} to lowest terms by extracting and canceling out 1800.

$$\sqrt{\frac{95}{4}}$$

Rewrite the square root of the division \sqrt{\frac{95}{4}} as the division of square roots \frac{\sqrt{95}}{\sqrt{4}}.

$$\frac{\sqrt{95}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{95}}{2}$$