What is the answer to sqrt(y+\sqrt{y+8)}=2sqrt(y) ?

The answer to sqrt(y+\sqrt{y+8)}=2sqrt(y) is y=1

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sqrt(y+\sqrt{y+8)}=2sqrt(y)

y + y + 8 = 2 y

y = 1

Solution steps

y + y + 8 = 2 y

Remove square roots

y + 8 = 9 y^{2}

Solve

y + 8 = 9 y^{2} : y = 1, y = - \frac{8}{9}

y = 1, y = - \frac{8}{9}

Verify Solutions:

y = 1

True

, y = - \frac{8}{9}

False

The solution is

y = 1

2 x + 19 = x + 8

3 + x + 2 x - 1 = 3

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

\frac{1}{2} y + 7 = 5

3 (x - x - 2) = 2 - x + x

What is the answer to sqrt(y+\sqrt{y+8)}=2sqrt(y) ?
The answer to sqrt(y+\sqrt{y+8)}=2sqrt(y) is y=1
Solve for y: sqrt(y+\sqrt{y+8)}=2sqrt(y)
The solution is y=1