Solve sqrt{2*0.79/0.7}

$$\sqrt{ \frac{ 2 \times 0.79 }{ 0.7 } }$$

Evaluate

$$\frac{\sqrt{2765}}{35}\approx 1.502379066$$

Solution Steps

Multiply 2 and 0.79 to get 1.58.

$$\sqrt{\frac{1.58}{0.7}}$$

Expand \frac{1.58}{0.7} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{158}{70}}$$

Reduce the fraction \frac{158}{70} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{79}{35}}$$

Rewrite the square root of the division \sqrt{\frac{79}{35}} as the division of square roots \frac{\sqrt{79}}{\sqrt{35}}.

$$\frac{\sqrt{79}}{\sqrt{35}}$$

Rationalize the denominator of \frac{\sqrt{79}}{\sqrt{35}} by multiplying numerator and denominator by \sqrt{35}.

$$\frac{\sqrt{79}\sqrt{35}}{\left(\sqrt{35}\right)^{2}}$$

The square of \sqrt{35} is 35.

$$\frac{\sqrt{79}\sqrt{35}}{35}$$

To multiply \sqrt{79} and \sqrt{35}, multiply the numbers under the square root.

$$\frac{\sqrt{2765}}{35}$$