Solve 15div800+(300)sqrt{700}

$$15 \div 800+(300) \sqrt{ 700 }$$

Evaluate

$$3000\sqrt{7}+\frac{3}{160}\approx 7937.272683194$$

Solution Steps

Reduce the fraction \frac{15}{800} to lowest terms by extracting and canceling out 5.

$$\frac{3}{160}+300\sqrt{700}$$

Factor 700=10^{2}\times 7. Rewrite the square root of the product \sqrt{10^{2}\times 7} as the product of square roots \sqrt{10^{2}}\sqrt{7}. Take the square root of 10^{2}.

$$\frac{3}{160}+300\times 10\sqrt{7}$$

Multiply 300 and 10 to get 3000.

$$\frac{3}{160}+3000\sqrt{7}$$

Factor

$$\frac{3 {(160000 \sqrt{7} + 1)}}{160} = 7937.272683193773$$