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

The answer to sqrt(\sqrt{x+3)+x}=3 is x=6

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

x + 3 + x = 3

x = 6

Solution steps

x + 3 + x = 3

Remove square roots

x + 3 = 81 - 18 x + x^{2}

Solve

x + 3 = 81 - 18 x + x^{2} : x = 13, x = 6

x = 13, x = 6

Verify Solutions:

x = 13

False

, x = 6

True

The solution is

x = 6

x^{2} + x + 1 = x + 1

5 + 2 x - 7 = x

4 x - 1 = 3

5 x - 4 - x = 2

19 x + 7 - 5 = x

What is the answer to sqrt(\sqrt{x+3)+x}=3 ?
The answer to sqrt(\sqrt{x+3)+x}=3 is x=6
Solve for x: sqrt(\sqrt{x+3)+x}=3
The solution is x=6