What is the answer to sqrt(7+\sqrt{x+1)}=3 ?

The answer to sqrt(7+\sqrt{x+1)}=3 is x=3

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sqrt(7+\sqrt{x+1)}=3

7 + x + 1 = 3

x = 3

Solution steps

7 + x + 1 = 3

Square both sides:

7 + x + 1 = 9

7 + x + 1 = 9

Move

7

to the right side

x + 1 = 2

Square both sides:

x + 1 = 4

x + 1 = 4

Solve

x + 1 = 4 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

x, 1 = x^{0.5} + y^{0.5}

9 (x)^{3} - 1 = 2

1 + \frac{1}{2 x - 6} = 0

\frac{x + 2}{x} = 0

What is the answer to sqrt(7+\sqrt{x+1)}=3 ?
The answer to sqrt(7+\sqrt{x+1)}=3 is x=3
Solve for x: sqrt(7+\sqrt{x+1)}=3
The solution is x=3