Question

WILL GIVE 4 MEDALS AND FAN IF YOU ANSWER PLEASE!
To simplify the radical below, which of the following expressions would be multiplied by the radical?
2√15/(-4-√12)
A.(-4+√12)/(-4+√12)
B. (-4+√12)
C. 1/(-4+√12)
D. (-4+√12)/(-4-√12)

Answer 1

@agent0smith @debpriya @Ethan01 helpppp lol

Answer 2

@Zyberg @Dragontears1128 @PartyShotz2409 help?

Answer 3

someone*

Answer 4

https://www.wolframalpha.com here is a website that can help you as well if your stuck on math

Answer 5

hope that helps

Answer 6

i us it and https://mathway.com/

Answer 7

I QUIT oml im just gonna get it wrong

Answer 8

To rationalize a denominator of the form \((a+\sqrt b)\)
we multiply by the conjugate, \((a-\sqrt b)/(a-\sqrt b)\)
Example, to rationalize
\(\frac{5+\sqrt{5}}{3-\sqrt{7}}\)
we multiply by:
\(\frac{3+\sqrt{7}}{3+\sqrt{7}}\)
to get
\(\frac{5+\sqrt{5}}{3-\sqrt{7}} \times \frac{3+\sqrt{7}}{3+\sqrt{7}}\)
\(=\frac{(5+\sqrt{5})\times(3+\sqrt{7})}{(3-\sqrt{7})\times (3+\sqrt{7})} \)
\(=\frac{(5+\sqrt{5})\times(3+\sqrt{7})}{3^2-\sqrt{7^2}} \)
\(=\frac{(15+3\sqrt{5}+5\sqrt{7}+\sqrt{35})}{3^2-\sqrt{7^2}} \)
=\(\frac{(15+3\sqrt{5}+5\sqrt{7}+\sqrt{35})}{2}\)