Asked by lexi
Simplify
4
_____
3+ square root of 5
4
_____
3+ square root of 5
Answers
Answered by
Steve
rationalizing denominators depends on the fact that
(a+b)(a-b) = a^2-b^2
So, if you multiply top and bottom by (3-√5), you have
4(3-√5)
--------------
(3+√5)(3-√5)
4(3-√5)/(9-5) = 3-√5
(a+b)(a-b) = a^2-b^2
So, if you multiply top and bottom by (3-√5), you have
4(3-√5)
--------------
(3+√5)(3-√5)
4(3-√5)/(9-5) = 3-√5
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