How do you simplify (3sqrt6+2sqrt5) /( sqrt6+sqrt 5)3√6+2√5√6+√5?

1 Answer
Cesareo R.
May 31, 2016

8-sqrt(30)8−√30

Explanation:

Using (a+b)(a-b)=a^2-b^2(a+b)(a−b)=a2−b2 and simplifying
(3 sqrt[6] + 2 sqrt[5])/(sqrt[6] + sqrt[5]) =((3 sqrt[6] + 2 sqrt[5]) (sqrt[6] - sqrt[5]))/((sqrt[6] + sqrt[5]) (sqrt[6] - sqrt[5])) = 8 -sqrt(30)3√6+2√5√6+√5=(3√6+2√5)(√6−√5)(√6+√5)(√6−√5)=8−√30

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