rationalising surds

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preludefaun
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#1
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#1
How would you go about rationalising something where the denominator is all in brackets like:

(2 + √3)^2
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username1162972
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#2
Report 7 years ago
#2
(Original post by preludefaun)
How would you go about rationalising something where the denominator is all in brackets like:

(2 + √3)^2
post the full question please


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anosmianAcrimony
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#3
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#3
(Original post by preludefaun)
How would you go about rationalising something where the denominator is all in brackets like:

(2 + √3)^2
I don't see a denominator there. 0.o

Could you simply FOIL out the 2​?
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username1162972
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#4
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#4
(Original post by anosmianAcrimony)
I don't see a denominator there. 0.o

Could you simply FOIL out the 2​?
he is saying that is the denominator


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preludefaun
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#5
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#5
The full question is to rationalise:

3√2 - 2√3 / (√2 + √3)^2
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username1162972
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#6
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#6
(Original post by preludefaun)
How would you go about rationalising something where the denominator is all in brackets like:

(2 + √3)^2
expand that out and u will an answer in the form a+broot(3) and then carry on as u normally would by multiplying top and bottom by a-broot(3). find a and b by urself


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preludefaun
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#7
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#7
Yeah I think I'm just going to expand the denominator out then rationalise.
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anosmianAcrimony
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#8
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#8
(Original post by physicsmaths)
he is saying that is the denominator


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Oh, I see.
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username1162972
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#9
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#9
ignore my previous post as i read it wrong. expand root 2 + root 3 squared and see whatu get. u shud get something in the form a+broot(6). after that rationalise normally


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anosmianAcrimony
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#10
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#10
(Original post by preludefaun)
Yeah I think I'm just going to expand the denominator out then rationalise.
That should do it. Good luck.
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