solve the equation squrt?

Question

√2y+8=2√y

Answer 1

√2y+8=2√y
√y(√2-2)=-8
y(√2-2)^2=64
y(2+4-4√2)=64
y(6-4√2)=64
y(6-4√2)(6+4√2)=64*(6+4√2)
y(36-32)=64*(6+4√2)
4y=64*(6+4√2)
y=16*(6+4√2)
y=32*(3+2√2)

y=96+64√2

Answer 2

√2y+8=2√y

Let u=√y
u^2=y

√2u^2-2u+8=0

use half quadratic formula
find u
then find y