Question 165064
I assume that you meant to type this:

3(sqrt{w + 1}) = 6

We want to isolate the radical symbol as our first goal.

To do so, divide both sides by 3 as step one.

Doing so, we now have this radical equation:

sqrt{w + 1} = 6/3

On the right side 6/3 = 2 and so we get this:

sqrt{w + 1} = 2

To remove the radical symbol, we square both sides.  In other words, raise both sides of the equation to the second power.

[sqrt{w + 1}]^2 = 2^2

w + 1 = 4

Subtract 1 from both sides.

w = 4 - 1

w = 3

WE NOW CHECK.

To check, plug w = 3 in the original question given to you and simplify.

You were given: 3(sqrt{w + 1}) = 6

Let w = 3

3(sqrt{3 + 1}) = 6

3(sqrt{4}) = 6

3(2) = 6

6 = 6....It checks!

Final answer: w = 3