Question 164957
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