Solve sqrt{522228/222}

$$\sqrt{ \frac{ 522228 }{ 222 } }$$

Evaluate

$$\frac{\sqrt{3220406}}{37}\approx 48.50132347$$

Solution Steps

Reduce the fraction \frac{522228}{222} to lowest terms by extracting and canceling out 6.

$$\sqrt{\frac{87038}{37}}$$

Rewrite the square root of the division \sqrt{\frac{87038}{37}} as the division of square roots \frac{\sqrt{87038}}{\sqrt{37}}.

$$\frac{\sqrt{87038}}{\sqrt{37}}$$

Rationalize the denominator of \frac{\sqrt{87038}}{\sqrt{37}} by multiplying numerator and denominator by \sqrt{37}.

$$\frac{\sqrt{87038}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

The square of \sqrt{37} is 37.

$$\frac{\sqrt{87038}\sqrt{37}}{37}$$

To multiply \sqrt{87038} and \sqrt{37}, multiply the numbers under the square root.

$$\frac{\sqrt{3220406}}{37}$$