What is the answer to sqrt(4+\sqrt{x-1)}=2 ?

The answer to sqrt(4+\sqrt{x-1)}=2 is x=1

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sqrt(4+\sqrt{x-1)}=2

4 + x - 1 = 2

x = 1

Solution steps

4 + x - 1 = 2

Square both sides:

4 + x - 1 = 4

4 + x - 1 = 4

Subtract

4

from both sides

4 + x - 1 - 4 = 4 - 4

Simplify

x - 1 = 0

Square both sides:

x - 1 = 0

x - 1 = 0

Solve

x - 1 = 0 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

\frac{2}{3} w + 12 = 8 + 3 w

(5 + 8 x)^{\frac{1}{3}} = - 3

16 x + 1 = 17 x + 16

3 x - 1 = 2 2 x + 2

What is the answer to sqrt(4+\sqrt{x-1)}=2 ?
The answer to sqrt(4+\sqrt{x-1)}=2 is x=1
Solve for x: sqrt(4+\sqrt{x-1)}=2
The solution is x=1