Solve frac{sqrt{35}}{7}*frac{7sqrt{35}}{25}

$$\frac{ \sqrt{ 35 } }{ 7 } \times \frac{ 7 \sqrt{ 35 } }{ 25 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Multiply \frac{\sqrt{35}}{7} times \frac{7\sqrt{35}}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{35}\times 7\sqrt{35}}{7\times 25}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\sqrt{35}\sqrt{35}}{25}$$

Multiply \sqrt{35} and \sqrt{35} to get 35.

$$\frac{35}{25}$$

Reduce the fraction \frac{35}{25} to lowest terms by extracting and canceling out 5.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$