Solve sqrt{27.04div2}

$$\sqrt{ 27.04 \div 2 }$$

Evaluate

$$\frac{13\sqrt{2}}{5}\approx 3.676955262$$

Solution Steps

Expand \frac{27.04}{2} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{2704}{200}}$$

Reduce the fraction \frac{2704}{200} to lowest terms by extracting and canceling out 8.

$$\sqrt{\frac{338}{25}}$$

Rewrite the square root of the division \sqrt{\frac{338}{25}} as the division of square roots \frac{\sqrt{338}}{\sqrt{25}}.

$$\frac{\sqrt{338}}{\sqrt{25}}$$

Factor 338=13^{2}\times 2. Rewrite the square root of the product \sqrt{13^{2}\times 2} as the product of square roots \sqrt{13^{2}}\sqrt{2}. Take the square root of 13^{2}.

$$\frac{13\sqrt{2}}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{13\sqrt{2}}{5}$$