Is this right...

Question

Square root X+6 - Square root X =Square root 2.

I did X+6 = (Square root 2+Square root X )(Square root 2+Square root X ).

Then I did X+4=2 Square root 2+X. THEN i GOT 2. IS THAT RIGHT??

Answer 1

no, if you try x=2 in your starting equation it will not work.

X+6 = (Square root 2+Square root X )(Square root 2+Square root X ) was right

x+6 = 2 + 4√x + x
4 = 4√x
1 = √x
x = 1

try it in the original question

√8 - √2
= 2√2 - √2
= √2
= right side

Answer 2

thanks reiny, you are very smart!