Solve sqrt{80/frac{1{2}}}

$$\sqrt { \frac { 80 } { \frac { 1 } { 2 } } }$$

Evaluate

$$4\sqrt{10}\approx 12.649110641$$

Solution Steps

Divide 80 by \frac{1}{2} by multiplying 80 by the reciprocal of \frac{1}{2}.

$$\sqrt{80\times 2}$$

Multiply 80 and 2 to get 160.

$$\sqrt{160}$$

Factor 160=4^{2}\times 10. Rewrite the square root of the product \sqrt{4^{2}\times 10} as the product of square roots \sqrt{4^{2}}\sqrt{10}. Take the square root of 4^{2}.

$$4\sqrt{10}$$