Question

https://www.connexus.com/content/media/565464-9262011-30540-PM-1222885775.jpg

plz help me solve dis, iv been working on it 4 a while, and i cant solve my last math question, thx

Answer 1

To rationalize the denominator, you need to multiply by a certain number that will get rid of the square root in the denominator. However, we also want to keep the number the same, so we have to multiply by 1. Fortunately, there are infinite ways to write 1, and we choose the way that will help us the most. In particular, \[\frac{\sqrt{30}}{\sqrt{30}}\]This means that we get \[\frac{4\sqrt6}{\sqrt{30}}\cdot\frac{\sqrt{30}}{\sqrt{30}}\]Can you simplify this last expression yourself?

Answer 2

ill just ask another question wit simpilifing it then..haha, cuz i got no clue

Answer 3

Don't ask yet. I'll help you through it.

Answer 4

thx man :)

Answer 5

First, you need to multiply both the numbers in the numerator, and multiply the ones in the denominator. So you get\[\frac{4\sqrt6}{\sqrt{30}}\cdot\frac{\sqrt{30}}{\sqrt{30}}=\frac{4\sqrt6\sqrt{30}}{\sqrt{30}\sqrt{30}}\]Can you tell me what \(\sqrt{30}\sqrt{30}\) is?

Answer 6

It can also be written as \(\sqrt{30}^2\) if that helps you.

Answer 7

thatd b 900

Answer 8

dont u still get 30 tho?, cuz if u use da square root of 30, u r dividing 30 by half, then doubling it?

Answer 9

It is 30. Good job. So now we have the denominator.

Answer 10

Next up, we need to find \[4\sqrt6\sqrt{30}=4\sqrt{6\cdot30}\]Do you know how to simplify this?

Answer 11

53.67? if i did it how i think u do it

Answer 12

KingGeorge u hav got to b a math teacher

Answer 13

If you were to use a calculator, that is the answer, but we want to get an exact number. So we do this\[4\sqrt{6\cdot30}=4\sqrt{6\cdot6\cdot5}=4\sqrt{6^2\cdot5}=4\sqrt{6^2}\cdot\sqrt5\]Not a math teacher yet, but plan on being one :)

Answer 14

Now we have one last thing to do before we get the numerator. Can you tell me what \(\sqrt{6^2}\) is?

Answer 15

6

Answer 16

\[\sqrt{36^{?}}\] so that goes to 6

Answer 17

Perfect. That means our numerator is \[4\cdot6\cdot\sqrt5=24\sqrt5\]

Answer 18

damn, u made dis soo easy :)

Answer 19

Combine our numerator and out denominator, and we get \[\frac{24\sqrt5}{30}\]I've had practice with this stuff so I hope I made it look easy :)

Answer 20

Did you understand all of this?

Answer 21

so how do we simplify dat now?

Answer 22

omg. i did this last year and ive lost it

Answer 23

im learning it now and i dont no it..haha..ur point?

Answer 24

could u run a 6 through the 30 and 24?

Answer 25

yeah

Answer 26

but dat seems 2 simple 2 be 9th grade math..lol

Answer 27

Well, \(30=5\cdot6\) and \(24=4\cdot6\). So we can simplify it just a wee bit more. \[\frac{24\sqrt5}{30}=\frac{6}{6}\cdot\frac{4\sqrt5}{5}=\frac{4\sqrt5}{5}\]

Answer 28

so now we r done?

Answer 29

babe, we in the same grade and we dont take the same course......

Answer 30

u in ny, i in pa?

Answer 31

Now we're done. It can't be simplified any more, and there are no square roots left.

Answer 32

omfg, my last math question and i am finally flutterign free from dis pellet..dude, u rock, thx :)

Answer 33

lmfao, wtf is up wit da weirdo thing blocking da cursing?

Answer 34

You're welcome.

I also love the censoring system here.

Answer 35

dats funny tho..hahaha

Answer 36

u got any knowledge in geometry?.... censoring? what did it censor?

Answer 37

i would tell u, but it would sensor it again XD

Answer 38

skype it :)

Answer 39

ok :), but all i wrote was just da f word and s word :)