Solve 1sqrt{5*4}div7+3=

$$1 \sqrt{ 5 \times 4 } \div 7+3=$$

Evaluate

$$\frac{2\sqrt{5}}{7}+3\approx 3.638876565$$

Short Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{1\sqrt{20}}{7}+3$$

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$\frac{1\times 2\sqrt{5}}{7}+3$$

Multiply 1 and 2 to get 2.

$$\frac{2\sqrt{5}}{7}+3$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{7}{7}.

$$\frac{2\sqrt{5}}{7}+\frac{3\times 7}{7}$$

Since \frac{2\sqrt{5}}{7} and \frac{3\times 7}{7} have the same denominator, add them by adding their numerators.

$$\frac{2\sqrt{5}+3\times 7}{7}$$

Do the multiplications in 2\sqrt{5}+3\times 7.

$$\frac{2\sqrt{5}+21}{7}$$

Factor

$$\frac{2 \sqrt{5} + 21}{7} = 3.63887656499994$$