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

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

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sqrt(\sqrt{x+2)+x}=2

x + 2 + x = 2

x = 2

Solution steps

x + 2 + x = 2

Remove square roots

x + 2 = 16 - 8 x + x^{2}

Solve

x + 2 = 16 - 8 x + x^{2} : x = 7, x = 2

x = 7, x = 2

Verify Solutions:

x = 7

False

, x = 2

True

The solution is

x = 2

x = 1 - x

(5 x + 1)^{\frac{1}{2}} = 9

(5 x + 1)^{\frac{1}{2}} = 6

3 2 x + 7 + x + 3 = 11

4 x + 5 - 9 = - 1

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