What is the answer to sqrt(6+\sqrt{2+\sqrt{x)}}=3 ?

The answer to sqrt(6+\sqrt{2+\sqrt{x)}}=3 is x=49

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sqrt(6+\sqrt{2+\sqrt{x)}}=3

6 + 2 + x = 3

x = 49

Solution steps

6 + 2 + x = 3

Square both sides:

6 + 2 + x = 9

6 + 2 + x = 9

Move

6

to the right side

2 + x = 3

Square both sides:

2 + x = 9

2 + x = 9

Move

2

to the right side

x = 7

Square both sides:

x = 49

x = 49

Verify Solutions:

x = 49

True

The solution is

x = 49

x - 3 x + 18 = 0

5 x - 36 + 1 = 4

4 x - 2 = x + 2

(x^{2} + 65)^{\frac{1}{2}} = 9

4 = \frac{1}{2 c}

What is the answer to sqrt(6+\sqrt{2+\sqrt{x)}}=3 ?
The answer to sqrt(6+\sqrt{2+\sqrt{x)}}=3 is x=49
Solve for x: sqrt(6+\sqrt{2+\sqrt{x)}}=3
The solution is x=49