# How do you evaluate 3\sqrt { 5} + 3\sqrt { 24} - \sqrt { 45}?

May 11, 2018

Answer: $6 \sqrt{6}$

#### Explanation:

Here,

factors of 24 = 2.2.2.3 = ${2}^{2} .6$
factors of 45 = 3.3.5 = ${3}^{2} .5$

Now,

= $3 \sqrt{5} + 3. \sqrt{{2}^{2} .6} - \sqrt{{3}^{2} .5}$
= $3 \sqrt{5} + 3.2 \sqrt{6} - 3 \sqrt{5}$
= $6 \sqrt{6}$ [Since $3 \sqrt{5}$ is subtracted from $3 \sqrt{5}$ that results 0]