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Jamierox4ev3r
 one year ago
Math Review Day 2!
6a. Rationalize the expression and simplify
Jamierox4ev3r
 one year ago
Math Review Day 2! 6a. Rationalize the expression and simplify

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Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Give me a second while I type out the expression. Thank you

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0\(\huge\frac{\sqrt{10}}{\sqrt{5}2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know the root of ten?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0yes. The root of 10 is not rational, so I don't see how knowing that would help me solve this problem

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0\(\huge\sqrt{10} = 3.16227766...\)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0I have a very limited recollection on rationalizing. So an explanation on that would be nice as well, thank you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i learned that you can use a perfect number to minimalize something like this heres an example the root of 18 equals 3root2

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2do you want to see if you can do anything by multiplying it by a conjugate

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0a conjugate...so like the opposite? do you mean multiplying by \(\huge\sqrt{5}+2\) ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440462611069:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2yes, so in effect if you multiply your original expression by \(\huge \frac{\sqrt{5}+2}{\sqrt{5}+2} \) you are in effect multiplying by 1, which does not change the original expression.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0root of 30 is irrational

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0okay.... but what would that accomplish? you're not really getting rid of the denominator by doing that, at least i don't think

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2is that denominator \(\huge \sqrt{5}2~ or~ \sqrt{52}\)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0wait lemme check mein textbook

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0it is definitely \(\huge\sqrt{5}2\)

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2Then try multiplying by conjugate and see what it will yield. you will find out if it will do anything cool or not

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440462940673:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2what happens when you multiply a binomial expression by its conjugate? let me show you an example \((a+b) \times (ab) = a^2b^2 \) you lose the middle term in a typical trinomial giving you binomial expression still. Here's the fun part, what does the squared term does to a square root?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0oh right! inverses :S

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0all i can say is that your answer will always be irrational so you have to work your way through the roots

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2let me show you another example \((\sqrt{2} +3) \times (\sqrt{2}3) = 29 = 7 \)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0right, so there wouldn't be a root over the two any more

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0I recall that rule: \[\sqrt{x^{2}}\] = x

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2see the cool stuff multiplying by conjugate does? it gives you a whole new other possibilities such as rationalizing your denominator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you could dodw:1440463196135:dw

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0how would you multiply on the numerator though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ur answer is 2root10 plus 5root2

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2you multiply it like any root multiplication \(\sqrt{2} \times \sqrt{5} = \sqrt{2 \times 5} =\sqrt{10} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@nincompoop ur making it way harder than it is

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2\(\sqrt{5} \times \sqrt{10} = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5 \sqrt{2} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0heres the answer \[2\sqrt{10}+5\sqrt{2}\]

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see. so you basically simplified \(\sqrt{50}\) Down to \(5\sqrt{2}\). I understand that

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2yeeeeee now try your own problem

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0as for the \(2\sqrt{10}\), that's just 2 x \(\sqrt{10}\). Got it!

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2Do not pay attention to those people that only give you answers. Those kind of people do not encourage intellectual growth.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well you make everything way harder than it already is

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0so lol hunter you were right. Sorry, I liked how nine explained better. and yeah nin, i know. I like to reach an understanding, I think that's vital for my learning (or in this case, review)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0*nin oops my bad

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i'd just help the person that let him get an F

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0*then and that's not a good philosophy

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2get an F and learn your lesson and try HARDER next time... being bailed out does not necessarily mean helping that person understand anything, because you may just be compounding the lack of skills that should have been developed to proceed to the next level.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i already had this thing during my whole life: they said its my fault that they got an F and i got beat up for it

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0in fact, getting temporarily "bailed out" will actually damage you in the long run. hoo boy let me tell ya

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.2enough bs in the thread. move on to the next question

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Anyhow, I'm closing this. Thank you for your thorough explanation @nincompoop and @GTA_Hunter35 try not to provide answers in the future. Thanks

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if u guys have a problem then deal with it because someone broke my hand because i didn't give him an answer
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