Question

How do you simplify `sqrt147+6sqrt3`?

Answer 1

`sqrt(147)+6sqrt(3) = 13sqrt(3)`

Explanation:

`sqrt(147)+6sqrt(3) = sqrt(7^2*3)+6sqrt(3) = sqrt(7^2)sqrt(3)+6sqrt(3) = 7sqrt(3)+6sqrt(3) = 13sqrt(3)`

In general, when you are asked to simply anything like `sqrt(147)` start by factoring the radicand:

`147 = 3*7*7 = 3*7^2`

Since this has a square factor we can simplify its square root as shown above.