Solve (2sqrt(3)-8)(9\div2sqrt(5)) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$(2 \sqrt{ 3 } -8)(9 \div 2 \sqrt{ 5 } )$$

$9\sqrt{5}\left(\sqrt{3}-4\right)\approx -45.641597074$

Use the distributive property to multiply $2\sqrt{3}-8$ by $\frac{9}{2}$.

$$\left(2\sqrt{3}\times \frac{9}{2}-8\times \frac{9}{2}\right)\sqrt{5}$$

Cancel out $2$ and $2$.

$$\left(9\sqrt{3}-8\times \frac{9}{2}\right)\sqrt{5}$$

Express $-8\times \frac{9}{2}$ as a single fraction.

$$\left(9\sqrt{3}+\frac{-8\times 9}{2}\right)\sqrt{5}$$

Multiply $-8$ and $9$ to get $-72$.

$$\left(9\sqrt{3}+\frac{-72}{2}\right)\sqrt{5}$$

Divide $-72$ by $2$ to get $-36$.

$$\left(9\sqrt{3}-36\right)\sqrt{5}$$

Use the distributive property to multiply $9\sqrt{3}-36$ by $\sqrt{5}$.

$$9\sqrt{3}\sqrt{5}-36\sqrt{5}$$

To multiply $\sqrt{3}$ and $\sqrt{5}$, multiply the numbers under the square root.

$$9\sqrt{15}-36\sqrt{5}$$

$9 \sqrt{5} {(\sqrt{3} - 4)} = -45.641597074$