Question

find the 1st 5 perfect squares of x such that 2 times the square root of x is also a perfect square

Answer 1

If I interpret correctly, then the you look for x^2 such that 2sqrt(x)=perfect square.
This implies:
2sqrt(x)=y^2 where x, y are integers.
square both sides and divide by 4:
x=y^4/4
Put y=0, x=0
y=1, x is not an integer
y=2, x=4
...
Can you complete the solution?

Answer 2

thanks

Answer 3

You're welcome! :)