Because I'm not sure how you're simplifying 13^.5.... 13 is prime
OpenStudy (anonymous):
ummm thatz is what am tryin to simplify.....itz quite hard....
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OpenStudy (anonymous):
i simplfief for u and got decim,al
OpenStudy (anonymous):
the 13
OpenStudy (campbell_st):
surds are anothe name for radicals... so the answer needs to be written usign radicals.
OpenStudy (anonymous):
So is the idea we have to combine the terms somehow?
OpenStudy (anonymous):
campbell
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OpenStudy (anonymous):
is this right?
OpenStudy (campbell_st):
just a quick question about the expression is it
1. \[\frac{3}{4 - \sqrt{13}}\]
or
2. \[\frac{3}{4} - \sqrt{13}\]
OpenStudy (anonymous):
the first one....
OpenStudy (anonymous):
wow u should of told me
OpenStudy (anonymous):
This is why I said "Are you sure it's (3/4) - 13^.5?" lol. I need to learn to Tex on this thing,
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OpenStudy (campbell_st):
ok... so you need to rationalise the denominator
multiply by 1.... in another form so its
and use the difference of 2 squares
this will give a rational denominator
\[\frac{3}{4 - \sqrt{13}} \times \frac{4 + \sqrt{13}}{4 + \sqrt{13}}\]
OpenStudy (campbell_st):
do you think you can work it out from here @prasheelasingh
OpenStudy (anonymous):
ummm yea....thanks
OpenStudy (campbell_st):
glad to help
OpenStudy (anonymous):
ummm i need help.......
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OpenStudy (campbell_st):
so do the denominator 1st
its the difference of 2 squares
\[(a - b)(a + b)=a^2 - b^2\]
you need
\[a = 4 ... and... b = \sqrt{13}\]
OpenStudy (anonymous):
ummm i got 16 -13.... ????????????
OpenStudy (campbell_st):
correct... so thats means the denominator is 3
now is there a common factor in the numerator that cancels..?