Solve 2/11sqrt{105}*5/8sqrt{142}

$$\frac { 2 } { 11 } \sqrt { 105 } \times \frac { 5 } { 8 } \sqrt { 142 }$$

Evaluate

$$\frac{5\sqrt{14910}}{44}\approx 13.875739873$$

Solution Steps

Multiply \frac{2}{11} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{11\times 8}\sqrt{105}\sqrt{142}$$

Do the multiplications in the fraction \frac{2\times 5}{11\times 8}.

$$\frac{10}{88}\sqrt{105}\sqrt{142}$$

Reduce the fraction \frac{10}{88} to lowest terms by extracting and canceling out 2.

$$\frac{5}{44}\sqrt{105}\sqrt{142}$$

To multiply \sqrt{105} and \sqrt{142}, multiply the numbers under the square root.

$$\frac{5}{44}\sqrt{14910}$$