Hey I'm stuck on this from a past paper:
ThanksExpand and simplify: (√3+√15)²
Give your answer in the form n+m√5, where n and m are integers.

Hey I'm stuck on this from a past paper:
ThanksExpand and simplify: (√3+√15)²
Give your answer in the form n+m√5, where n and m are integers.
Geez, what exam board are you sitting? That's a bloody difficult question. Sorry I can't be of help!
It's a long time since I've done any maths like this so forgive me if I'm wrong
(√3+√15)² = (√3+√15)(√3+√15)
Then you need to expand the brackets out. Doing so you get this:
√9 + √45 + √45 + √225
This then goes to
3 + 3√5 + 3√5 + 15
Which equals (18 + 6√5)
Thanks a lot
+rep![]()
No problem
I remember doing those sort of questions.... memories![]()
it's all about binomial expansions these days gawsh.
goodbye.
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