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

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

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

x - 2 + x - 2 = 2

x = 3

Solution steps

x - 2 + x - 2 = 2

Remove square roots

x - 2 = \frac{x ^{2}}{25} + \frac{4 x}{25} + \frac{4}{25}

Move

4 x - 2

to the left side

5 x - 2 = x + 2

Divide both sides by

5

x - 2 = \frac{x + 2}{5}

Solve

x - 2 = \frac{x ^{2}}{25} + \frac{4 x}{25} + \frac{4}{25} : x = 18, x = 3

x = 18, x = 3

Verify Solutions:

x = 18

False

, x = 3

True

The solution is

x = 3

3 3 y + 6 + 7 = 8

2 x - 5 = 4 x - 7

12 - a + 7 a = 8 a

x^{- \frac{1}{3}} = \frac{3}{2}

1 - x - 13 + x = x + 4

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