Simplify (2+√5) / (3-√7)
I got stuck on this, I tried to rationalise the denominator and got: (6+2√7+3√5+√35) / 2
Then I divided by 2, and got: 3+√7+1.5√5+.5√35
Basically I have no idea what to do from here, because it says simplify it - but to me, it looks like I have complicated it even more than it was in its original form :L
Please help! Thanks in advance.
I got stuck on this, I tried to rationalise the denominator and got: (6+2√7+3√5+√35) / 2
Then I divided by 2, and got: 3+√7+1.5√5+.5√35
Basically I have no idea what to do from here, because it says simplify it - but to me, it looks like I have complicated it even more than it was in its original form :L
Please help! Thanks in advance.
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"I got stuck on this, I tried to rationalise the denominator and got: (6+2√7+3√5+√35) / 2"
You can be done here, because each of the remaining expressions in the radicals can't really be simplified any more.
That is, 7 and 5 are prime, so 7 and 5 each have no perfect squares for divisors. 35's divisors are {1, 5, 7, 35}, none of which are perfect squares.
You can be done here, because each of the remaining expressions in the radicals can't really be simplified any more.
That is, 7 and 5 are prime, so 7 and 5 each have no perfect squares for divisors. 35's divisors are {1, 5, 7, 35}, none of which are perfect squares.