Question

6root3+5root12 what is the answer

Answer 1

Hey there! :)


`6√(3) + 5 √(12)`

In order to add these together, we must simplify the square roots.


`6 √(3)` is already in simplest terms, but
`5 √(12)` is not.

So, let's start simplifying it!


`√(12) = ?`

We need to take out any squares within 12.

So, if we branch out 12, we know that 4 × 3 = 12

√4 = 2. So, we can take out 2 and be left with √3.

Since the original square is 5√12, we MUST multiply 5 by 2.


`5*2 √(3) = 10 √(3)`

So, using the simplified number of 5 root 12, we now can add this to 6 root 3.


`6 √(3) + 10 √(3) = 16 √(3)`

So, our final answer is :
`16 √(3)`

~Hope I helped!~