What is the answer to sqrt(1+\sqrt{3+\sqrt{6x)}}=2 ?

The answer to sqrt(1+\sqrt{3+\sqrt{6x)}}=2 is x=6

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sqrt(1+\sqrt{3+\sqrt{6x)}}=2

1 + 3 + 6 x = 2

x = 6

Solution steps

1 + 3 + 6 x = 2

Square both sides:

1 + 3 + 6 x = 4

1 + 3 + 6 x = 4

Move

1

to the right side

3 + 6 x = 3

Square both sides:

3 + 6 x = 9

3 + 6 x = 9

Move

3

to the right side

6 x = 6

Square both sides:

6 x = 36

6 x = 36

Solve

6 x = 36 : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

x = \frac{x}{2}

4 x + 1 + 3 x - 2 = 5

t + 5 t = 6 t

2 x - 5 - x - 3 = 1

x + 1 = x + 9

What is the answer to sqrt(1+\sqrt{3+\sqrt{6x)}}=2 ?
The answer to sqrt(1+\sqrt{3+\sqrt{6x)}}=2 is x=6
Solve for x: sqrt(1+\sqrt{3+\sqrt{6x)}}=2
The solution is x=6