Solve (sqrt{10}+4)*9sqrt{3}*1/3

$$( \sqrt { 10 } + 4 ) \times 9 \sqrt { 3 } \times \frac { 1 } { 3 }$$

Evaluate

$$3\sqrt{3}\left(\sqrt{10}+4\right)\approx 37.216286416$$

Solution Steps

Multiply 9 and \frac{1}{3} to get \frac{9}{3}.

$$\frac{9}{3}\left(\sqrt{10}+4\right)\sqrt{3}$$

Divide 9 by 3 to get 3.

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

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

$$\left(3\sqrt{10}+12\right)\sqrt{3}$$

Use the distributive property to multiply 3\sqrt{10}+12 by \sqrt{3}.

$$3\sqrt{10}\sqrt{3}+12\sqrt{3}$$

To multiply \sqrt{10} and \sqrt{3}, multiply the numbers under the square root.

$$3\sqrt{30}+12\sqrt{3}$$