What is the answer to sqrt(7+\sqrt{2+\sqrt{x-3)}}=3 ?

The answer to sqrt(7+\sqrt{2+\sqrt{x-3)}}=3 is x=7

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sqrt(7+\sqrt{2+\sqrt{x-3)}}=3

7 + 2 + x - 3 = 3

x = 7

Solution steps

7 + 2 + x - 3 = 3

Square both sides:

7 + 2 + x - 3 = 9

7 + 2 + x - 3 = 9

Move

7

to the right side

2 + x - 3 = 2

Square both sides:

2 + x - 3 = 4

2 + x - 3 = 4

Move

2

to the right side

x - 3 = 2

Square both sides:

x - 3 = 4

x - 3 = 4

Solve

x - 3 = 4 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

x + 11 = \frac{x ^{2} + 1}{2}

x - 5 - 4 x - 7 = 0

(x + 1)^{\frac{1}{3}} = 0

4 + x^{2} = 2 + x

m, 2 b = m + m^{2} + t

What is the answer to sqrt(7+\sqrt{2+\sqrt{x-3)}}=3 ?
The answer to sqrt(7+\sqrt{2+\sqrt{x-3)}}=3 is x=7
Solve for x: sqrt(7+\sqrt{2+\sqrt{x-3)}}=3
The solution is x=7