CalculusRationalizing Denominator
posted by Untamed .
I am very confused on how to rationalize a denominator, it just gets harder and harder.*will be using the V symbol again as a square root symbol.* I get how to rationalize something simple as V2/V7, I would get V14/7 as the answer, but I get confused on how to solve 1/V6 +2, this is the way I did it, and I know it's wrong.
1/V6 + 2 * V6  2/V6  2
1V62/V36  4
1V6  2/64
1V6  2/2
I don't get how to solve from here, would the 2's cancel out? and I'm left with 1V6.
And this is an even harder one...
V30 + 3V3/V30  3V3

(a+b)(ab) = a²  b²
(√6 + 2)(√6  2) = (√6)²  2² = 64 = 2
So, you end up with (√6  2)/2 = √6/2  1
Your lack of parentheses got you the wrong answer.
(√30 + 3√3)/((√30  3√3) * (√30 + 3√3)/(√30 + 3√3)
= (30 + 6√30 + 27) / (3027)
= (57 + 6√30)/3 = 19 + 2√30