What is the answer to sqrt(\sqrt{x+8)+x}=8 ?

The answer to sqrt(\sqrt{x+8)+x}=8 is x=56

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sqrt(\sqrt{x+8)+x}=8

x + 8 + x = 8

x = 56

Solution steps

x + 8 + x = 8

Remove square roots

x + 8 = 4096 - 128 x + x^{2}

Solve

x + 8 = 4096 - 128 x + x^{2} : x = 73, x = 56

x = 73, x = 56

Verify Solutions:

x = 73

False

, x = 56

True

The solution is

x = 56

x + 15 - x - 15 = 10

0 = \frac{3 ( 2 - x )}{x}

x x = 216

x + 2 + 3 = x + 5

x + 3 = 4 x + 17

What is the answer to sqrt(\sqrt{x+8)+x}=8 ?
The answer to sqrt(\sqrt{x+8)+x}=8 is x=56
Solve for x: sqrt(\sqrt{x+8)+x}=8
The solution is x=56