Solve (frac{sqrt{625}}{11}*14/sqrt{25}*11/sqrt{196})

$$( \frac { \sqrt { 625 } } { 11 } \times \frac { 14 } { \sqrt { 25 } } \times \frac { 11 } { \sqrt { 196 } } )$$

Evaluate

$$5$$

Solution Steps

Calculate the square root of 625 and get 25.

$$\frac{25}{11}\times \frac{14}{\sqrt{25}}\times \frac{11}{\sqrt{196}}$$

Calculate the square root of 25 and get 5.

$$\frac{25}{11}\times \frac{14}{5}\times \frac{11}{\sqrt{196}}$$

Multiply \frac{25}{11} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 14}{11\times 5}\times \frac{11}{\sqrt{196}}$$

Do the multiplications in the fraction \frac{25\times 14}{11\times 5}.

$$\frac{350}{55}\times \frac{11}{\sqrt{196}}$$

Reduce the fraction \frac{350}{55} to lowest terms by extracting and canceling out 5.

$$\frac{70}{11}\times \frac{11}{\sqrt{196}}$$

Calculate the square root of 196 and get 14.

$$\frac{70}{11}\times \frac{11}{14}$$

Multiply \frac{70}{11} times \frac{11}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{70\times 11}{11\times 14}$$

Cancel out 11 in both numerator and denominator.

$$\frac{70}{14}$$

Divide 70 by 14 to get 5.

$$5$$

Factor

$$5$$