Question

The instruction did not do a good job teaching me, while I have somehow guessed the answer, I would prefer it if somebody could teach me how to solve this.

simplify sqrt-50
A | 5 sqrt2
B | 5i sqrt2
C | -5 sqrt2
D | -5i sqrt2

Answer 1

Ok um do you know how to divide your cordinates

Answer 2

remember your rules for expanding radicals

sqrt(a*b) = sqrt(a) * sqrt(b)

using this logic, we can re-write sqrt(-50) as

sqrt(-1) * sqrt(50)

sqrt(-1) is simply i by definition, so we have

i * sqrt(50)

after that, you can re-write sqrt(50) as sqrt(25*2) using the same logic as before, and simplify

Answer 3

\[\sqrt{a}\times \sqrt{b}=\sqrt{ab}\]
if atleast one of a or b >0