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1/(root 3) = (root 3)/3 ?????? watch

1. ive been stuck on a C3 question for over an hour and its because of my calculator:

when i type it gives the answer as ???? are these the same? ive already done a master-reset on my calculator and its in the right mode, sometimes i need to hit it to work and the screen blurs a bit, is it time to get a new calculator??
2. if you start with 1/(root3), multiply by (root3)/(root3) and see what happens...
3. yes they are, they have rationalised the denominator

1/(root3) x (root3)/(root3) ... this is like multiplying by one so the value is unchanged

this becomes (root3)/((root3)(root3)) = (root3)/3
4. Aye

5. Yes they're the same. It's essentially multiplying 1/3*1/2 by 3*1/2/3*1/2, which you can do because that equals one.
6. The denominator has just been rationalised by multiplying the top and the bottom of the fraction by root 3. Its probably one of the things you did back in C1 when doing surds.
7. (Original post by jimimick)
ive already done a master-reset on my calculator and its in the right mode, sometimes i need to hit it to work and the screen blurs a bit, is it time to get a new calculator??
Good effort
8. (Original post by jimimick)
ive been stuck on a C3 question for over an hour and its because of my calculator:

when i type it gives the answer as ???? are these the same? ive already done a master-reset on my calculator and its in the right mode, sometimes i need to hit it to work and the screen blurs a bit, is it time to get a new calculator??
Yes, it is right. Multiply 1/rt3 by rt3/rt3. That is what it gives you.
9. (Original post by l4ith)
yes they are, they have rationalised the denominator

1/(root3) x (root3)/(root3) ... this is like multiplying by one so the value is unchanged

this becomes (root3)/((root3)(root3)) = (root3)/3

oh my days, how did i not see tht? ty

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