I was watching the Algebraic Expressions video and am slightly confused on the rule previously mentioned in another video regarding negatives and exponents. I understand that ETS doesn’t consider -2 an answer for the square root of four, but what about the opposite? In the problem done at the ~41 minute mark, the answer accounts for x being +3 and -3. Does this indicate that ETS only applies this rule to variables under a square root? Thank you, everyone.

Yes. In other words, \sqrt{x} is always positive.

see this is a big misconception I see people seem to understand wrongly

For this DS question what would your answer be?

A: Square root of 4

B : 2

I guess C , as you wrote above ETS does not consider square root of 4 is -2. That is wrong. Ans would be D

Just go and check Math review text under exponents and roots

ETS

" every positive numbers will have two square root so 4 will have 2 square roots one is positive and another is negative "

the only thing which ETS says something and people assume something. ETS says SQROOT sign always considers the positive square root . the root sign we see says we need to consider the only positive square roots.

so if question asks square roots of 4 its +2 & -2.

but if question says root(4) then its +2 where root() is sign of that root, i am unable type as not on keyboard.