Question

.Rationalize the denominators of the following expressions and simplify if possible.

Answer 1

Spam?

Answer 2

no

Answer 3

Totally.
\[\huge~\rm~\frac{ 4 }{ \sqrt{3}-\sqrt{2} }\]

Answer 4

Rationalize the denominators of the following expressions and simplify if possible.

Answer 5

ok this is easy

Answer 6

\[\frac{ 4 }{ \sqrt3 - \sqrt2 }=\frac{ 4 }{ \sqrt3 - \sqrt2 }*\frac{ \sqrt3 + \sqrt2 }{ \sqrt3 +\sqrt2 }\]

Answer 7

\[\frac{ 4*(\sqrt3 + \sqrt2) }{ 3-2 }\]

Answer 8

now you can simpify :)
(a-b)*(a+b)=a^2-b^2

Answer 9

conjugateeeee nation

Answer 10

https://www.mathsisfun.com/algebra/conjugate.html

Answer 11

Isnt the bottom supposed to me
\[\huge~\rm~\sqrt{3^2}-\sqrt{2^2}\]
Thanks astro for the link

Answer 12

*be not me

Answer 13

i just used the difference of squares @pooja195

Answer 14

\[\left( \sqrt{3} \right)^2-\left( \sqrt{2} \right)^2 = 3-2\]

Answer 15

you just written it in another form

Answer 16

3-2=(sqrt3-sqrt2)*(sqrt3+sqrt2)

Answer 17

Remember \[\sqrt{x} = x^{1/2}\] so when you sqaure it you get \[x^{2/2} = x\]

Answer 18

Difference of squares works to :)

Answer 19

Would my final answer be
\[\huge~\rm~4(\sqrt{3}+\sqrt{2})\]

Answer 20

yes, but maybe you need to distribute it?

Answer 21

\[\huge \checkmark\]

Answer 22

I need to distribute???

Answer 23

Nope, you're good

Answer 24

no just asked

Answer 25

lol ok thanks guys ^-^

Answer 26

The point of these problems is just to get you used to using the conjugate

Answer 27

lol I suck at these i find them difficult because im not used to using the conjugate :P

Answer 28

Just read that link I sent you it's barely a page long should clear things up, it's just a change of sign

Answer 29

I see thanks for the link its actually very helpful =)

Answer 30

yeah, because if you use conjugate it is simpler because of difference of squares.

np :D :) :\ :O

Answer 31

lol I see yeah thanks :-)