Asked by Edward scissors hands
Sqrt 2 minus sqrt 10/ sqrt 2 plus sqrt 10
I know that the answer is -3/2 + 1/2 sqrt 5 please just show the steps on how to get there thanks
I know that the answer is -3/2 + 1/2 sqrt 5 please just show the steps on how to get there thanks
Answers
Answered by
oobleck
(√2-√10)/(√2+√10)
rationalize the denominator using (a+b)(a-b) = a^2-b^2
(√2-√10)/(√2+√10) * (√2-√10)/(√2-√10)
(√2-√10)^2/(2-10)
(2-2√20+10)/-8
(12-4√5)/-8
-3/2 + √5/2
rationalize the denominator using (a+b)(a-b) = a^2-b^2
(√2-√10)/(√2+√10) * (√2-√10)/(√2-√10)
(√2-√10)^2/(2-10)
(2-2√20+10)/-8
(12-4√5)/-8
-3/2 + √5/2
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