Question

√5=√-5 squaring on both sides we get, 5=-5 or, 5+5=0 or, 10=0 . Where did I creat mistake?

Answer 1

squaring both sides u will get

5=5

as the square of negative terms is also positive

Answer 2

on squaring both sides...

$( { \sqrt{5} )}^{2} = { (\sqrt{ - 5} )}^{2} \\ \\ 5 = - 5$

as square will only cancel the root not make it positive.

hope it helps you!