Solve left(2sqrt{3}+9right)left(2sqrt{3}-8right)

$$\left( 2 \sqrt{ 3 } +9 \right) \left( 2 \sqrt{ 3 } -8 \right)$$

Evaluate

$$2\left(\sqrt{3}-30\right)\approx -56.535898385$$

Solution Steps

Apply the distributive property by multiplying each term of 2\sqrt{3}+9 by each term of 2\sqrt{3}-8.

$$4\left(\sqrt{3}\right)^{2}-16\sqrt{3}+18\sqrt{3}-72$$

The square of \sqrt{3} is 3.

$$4\times 3-16\sqrt{3}+18\sqrt{3}-72$$

Multiply 4 and 3 to get 12.

$$12-16\sqrt{3}+18\sqrt{3}-72$$

Combine -16\sqrt{3} and 18\sqrt{3} to get 2\sqrt{3}.

$$12+2\sqrt{3}-72$$

Subtract 72 from 12 to get -60.

$$-60+2\sqrt{3}$$

Factor

$$2 {(\sqrt{3} - 30)} = -56.535898385$$