Solve sqrt{0.713*0.598/(0.713+0.598)^2}

$$\sqrt { \frac { 0.713 \times 0.598 } { ( 0.713 + 0.598 ) ^ { 2 } } }$$

Evaluate

$$\frac{\sqrt{806}}{57}\approx 0.498072616$$

Solution Steps

Multiply 0.713 and 0.598 to get 0.426374.

$$\sqrt{\frac{0.426374}{\left(0.713+0.598\right)^{2}}}$$

Add 0.713 and 0.598 to get 1.311.

$$\sqrt{\frac{0.426374}{1.311^{2}}}$$

Calculate 1.311 to the power of 2 and get 1.718721.

$$\sqrt{\frac{0.426374}{1.718721}}$$

Expand \frac{0.426374}{1.718721} by multiplying both numerator and the denominator by 1000000.

$$\sqrt{\frac{426374}{1718721}}$$

Reduce the fraction \frac{426374}{1718721} to lowest terms by extracting and canceling out 529.

$$\sqrt{\frac{806}{3249}}$$

Rewrite the square root of the division \sqrt{\frac{806}{3249}} as the division of square roots \frac{\sqrt{806}}{\sqrt{3249}}.

$$\frac{\sqrt{806}}{\sqrt{3249}}$$

Calculate the square root of 3249 and get 57.

$$\frac{\sqrt{806}}{57}$$