Solve 1/2(4+6+4sqrt{3})

$$\frac{ 1 }{ 2 } (4+6+4 \sqrt{ 3 } )$$

Evaluate

$$2\sqrt{3}+5\approx 8.464101615$$

Solution Steps

Add 4 and 6 to get 10.

$$\frac{1}{2}\left(10+4\sqrt{3}\right)$$

Use the distributive property to multiply \frac{1}{2} by 10+4\sqrt{3}.

$$\frac{1}{2}\times 10+\frac{1}{2}\times 4\sqrt{3}$$

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{10}{2}+\frac{1}{2}\times 4\sqrt{3}$$

Divide 10 by 2 to get 5.

$$5+\frac{1}{2}\times 4\sqrt{3}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$5+\frac{4}{2}\sqrt{3}$$

Divide 4 by 2 to get 2.

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

Factor

$$2 \sqrt{3} + 5 = 8.464101615$$