What is the answer to sqrt(4+\sqrt{m-2)}=4 ?

The answer to sqrt(4+\sqrt{m-2)}=4 is m=146

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sqrt(4+\sqrt{m-2)}=4

4 + m - 2 = 4

m = 146

Solution steps

4 + m - 2 = 4

Square both sides:

4 + m - 2 = 16

4 + m - 2 = 16

Move

4

to the right side

m - 2 = 12

Square both sides:

m - 2 = 144

m - 2 = 144

Solve

m - 2 = 144 : m = 146

m = 146

Verify Solutions:

m = 146

True

The solution is

m = 146

2 x + 1 = x + 4

(3 + 5 x - 6)^{2} = (2 x)^{2}

x + 7 = 7^{2}

What is the answer to sqrt(4+\sqrt{m-2)}=4 ?
The answer to sqrt(4+\sqrt{m-2)}=4 is m=146
Solve for m: sqrt(4+\sqrt{m-2)}=4
The solution is m=146