Solve [20+4sqrt{3})3/5

$$[ 20 + 4 \sqrt { 3 } ) \frac { 3 } { 5 }$$

Evaluate

$$\frac{12\left(\sqrt{3}+5\right)}{5}\approx 16.156921938$$

Solution Steps

Use the distributive property to multiply 20+4\sqrt{3} by \frac{3}{5}.

$$20\times \frac{3}{5}+4\sqrt{3}\times \frac{3}{5}$$

Express 20\times \frac{3}{5} as a single fraction.

$$\frac{20\times 3}{5}+4\sqrt{3}\times \frac{3}{5}$$

Multiply 20 and 3 to get 60.

$$\frac{60}{5}+4\sqrt{3}\times \frac{3}{5}$$

Divide 60 by 5 to get 12.

$$12+4\sqrt{3}\times \frac{3}{5}$$

Express 4\times \frac{3}{5} as a single fraction.

$$12+\frac{4\times 3}{5}\sqrt{3}$$

Multiply 4 and 3 to get 12.

$$12+\frac{12}{5}\sqrt{3}$$

Factor

$$\frac{12 {(\sqrt{3} + 5)}}{5} = 16.156921938165304$$