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Jamierox4ev3r
 one year ago
Math Review Day 3!
6e. Rationalize the expression and simplify.
Jamierox4ev3r
 one year ago
Math Review Day 3! 6e. Rationalize the expression and simplify.

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Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1Let me retype the question 6e. Rationalize the expression and simplify \(\huge\frac{\sqrt{4+h}2}{h}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is this root just for 4? Or h also?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1the root is \(\sqrt{4+h}\) @joyraheb

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1i guess multiply the numerator and the denominator by the `conjugate` of the numerator

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1I do believe that the first step would be to multiply the whole expression by the conjugate of the numerator. So I assume that it would look a little like this: \(\huge\frac{\sqrt{4+h}2}{h}\times\huge\frac{\sqrt{4+h}+2}{\sqrt{4+h}+2}\)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1LOL you read my mind XD There is a lot of multiplying of conjugates in Algebra. A common trend that I recall

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1If you multiply these, you should get \(\huge\frac{(4+h)4}{h(\sqrt{4+h}+2}\) right?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1yes! oops wait i think a parentheses is missing in in the denominator \(\huge\frac{(4+h)4}{h(\sqrt{4+h})+2}\)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1anyhow, from here I'm a little stuck. I know the in the numerator, 4 and 4 cancel out, so you're left with h...but what happens in the denominator?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right \(\huge\rm \frac{\color{reD}{4}+h\color{reD}{4}}{h(\sqrt{4+h}+2)}\)\[\rm \frac{ h }{ h(\sqrt{4+h}+2)}\] can you cancel out anything ?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1oh wait! i see. So i mentioned canceling out in the numerator, but it seems like something in the numerator and denominator can be cancelled out \(\huge\rm \frac{\color{reD}{4}+\color{green}h\color{reD}{4}}{\color{green}h(\sqrt{4+h}+2)}\) The things in green become 1, so wouldn't you have this: \(\huge\frac{1}{\sqrt{4+h}+2}\)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1parentheses should be aftr 2 cuz it's one expression (sqrt{4+h}+2)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1oh true, whoops XD and ty ;;

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1yeah i put the parentheses in the wrong place earlier. my bad hehe I'm fine. From there, am I done?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1is that the final answer?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1btw do you have the answer ? just want to know cuz most of times we r not allowed to leave the square root at the denominator

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes i think so we can't do anything else with that exprssion

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1hmmm lemme check online. The textbook doesn't have the answers in it, but the textbook's website has them. Brb

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.1Yep that's it. Thank you thank you! XD
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