SOLUTION: simplify by rationalising the denominator [(sqrt10)+(2sqrt5)]/[(sqrt10)+(sqrt5)]

Algebra.Com
Question 407910: simplify by rationalising the denominator
[(sqrt10)+(2sqrt5)]/[(sqrt10)+(sqrt5)]
Found 2 solutions by Edwin McCravy, graphmatics:
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!



The conjugate of the denominator is .
Put that over itself like this .

Then multiply:



Multiply the tops and the bottoms:



Simplify:























Edwin
Answer by graphmatics(170)   (Show Source): You can put this solution on YOUR website!
We are given the expression . In general when there are radicals in the denominator of a fraction
we multiply the fraction by
(example: =

So for the given expression we have that






We will simplify the numerator
RELATED QUESTIONS

Simplify by rationalizing the denominator.... (answered by lynnlo)
(2sqrt5-2sqrt3)(sqrt10+sqrt6) (answered by xcentaur)
#36. Rationalize the denominator and simplify sqrt10/sqrt15 (answered by richwmiller)
simplify the expression by rationalizing teh denominator. sqrt10/5 also can you help (answered by edjones)
Simplify: sqrt6(sqrt3 + sqrt10) (answered by eperette)
Radical expressions Three students were asked to simplify sqrt10 +sqrt50. Their answers... (answered by Nate,zeynep)
15-^3sqt-8 sqrt5(sqrt2+sqrt3) sqrt10 -------... (answered by Alan3354)
How do I solve: (5 sqrt10 + 7 sqrt5)(2 sqrt5 + sqrt10) sorry but there is no square... (answered by Alan3354)
(8-sqrt10)(5-sqrt10)=?? it says to simplify? thanks for your... (answered by ewatrrr)