Question

|x-√2|=√8,x∈R..........

Answer 1

$|x- \sqrt{2} |= \sqrt{8} \\ |x- \sqrt{2} |=2 \sqrt{2} \\ x- \sqrt{2} =2 \sqrt{2} \\ x=2 \sqrt{2} + \sqrt{2} \\ x=3 \sqrt{2} \\ x- \sqrt{2} =-2 \sqrt{2} \\ x=-2 \sqrt{2} + \sqrt{2} \\ x=- \sqrt{2}$