Question

Solve the square root of x+31=x+1

Answer 1

do you know how to get rid of a square root sign?

Answer 2

no

Answer 3

\[\sqrt{x+31} = x+1\]Like that?

Answer 4

Yes

Answer 5

you square each side
so you have \[(\sqrt{x+31})^{2} = (x+1)^{2}\]

Answer 6

now what happens when you square a square root?

Answer 7

It goes away?

Answer 8

exactly, so it just becomes x+31 = \[(x+1)^{2}\]

Answer 9

now you don't have a square root so you should be able to multipy out your quadratic and solve for x as normal.

Answer 10

Ok. Thanks! :)

Answer 11

no problem! so don't forget, if you want to get rid of a square root just square both sides!

Answer 12

So do I multiply (x+1)(x+1)?