3 square root w + 1 = 6 What is w?

3√(w + 1) = 6
√(w + 1) = 6/3 = 2
Squaring both sides,
w + 1 = 2*2 = 4
w = 4-1 = 3

3√(w + 1) = 6
√(w + 1) = 2
w + 1 = 4
w = 3

Answer: w = 3

Proof:
3√(3 + 1) = 6
3√4 = 6
3(2) = 6
6 = 6

w= 3

3√(w + 1) = 6
√(w + 1) = 6/3
w + 1 = 2^2
w + 1 = 4
w = 4 - 1
w = 3

Reading this as :-

( 3√w ) + 1 = 6 ------( AS GIVEN )

3 √w = 5

√w = 5 / 3

w = 25 / 9

first, minus the one from both sides.
*=square root symbol

3*w=5

divide both sides by 3

*w=5/3

square both sides

w=(5/3)^2 (whatever that is on the calculator, I don't have mine on me)


I think thats the answer, I there were any brackets or anything, the answer will probably be different.

Don't know if you mean

3sqrt(w + 1) = 6 or 3sqrt(w) + 1 = 6

Let's try them both.


3sqrt(w + 1) = 6

Divide both sides by 3

sqrt(w + 1) = 2

Square both sides

w + 1 = 4

w = 3


Now the other possible problem

3sqrt(w) + 1 = 6

Subtract 1 from both sides

3sqrt(w) = 5

Divide both sides by 3

sqrt(w) = 5/3

Square both sides

w = 25/9