Question

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

Answer 1

Answer: `6sqrt6`

Explanation:

Here,

factors of 24 = 2.2.2.3 = `2^( 2).6`
factors of 45 = 3.3.5 = `3^(2).5`

Now,

= `3sqrt5+3.sqrt(2^(2).6)-sqrt(3^(2).5)`
= `3sqrt5+3.2sqrt6-3sqrt5`
= `6sqrt6` [Since `3sqrt5` is subtracted from `3sqrt5` that results 0]