Solve 7.15left(7/5+sqrt{3}right)

$$7.15 \left( \frac{ 7 }{ 5 } + \sqrt{ 3 } \right)$$

Evaluate

$$\frac{143\sqrt{3}}{20}+10.01\approx 22.394163274$$

Solution Steps

Use the distributive property to multiply 7.15 by \frac{7}{5}+\sqrt{3}.

$$7.15\times \frac{7}{5}+7.15\sqrt{3}$$

Convert decimal number 7.15 to fraction \frac{715}{100}. Reduce the fraction \frac{715}{100} to lowest terms by extracting and canceling out 5.

$$\frac{143}{20}\times \frac{7}{5}+7.15\sqrt{3}$$

Multiply \frac{143}{20} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{143\times 7}{20\times 5}+7.15\sqrt{3}$$

Do the multiplications in the fraction \frac{143\times 7}{20\times 5}.

$$\frac{1001}{100}+7.15\sqrt{3}$$

Factor

$$\frac{143 {(5 \sqrt{3} + 7)}}{100} = 22.394163274117474$$