How do you simplify (sqrt10 - sqrt 5) /( sqrt 10 + sqrt 5)?

1 Answer
Deepak G.
Aug 11, 2016

=3-2sqrt2

Explanation:

(sqrt10-sqrt5)/(sqrt10+sqrt5)
Multiplying both the sides by sqrt(10)-sqrt(5)
We get
(sqrt10-sqrt5)^2/((sqrt10+sqrt5)(sqrt10-sqrt5))
=(10+5-2timessqrt10timessqrt5)/(10-5)
=(15-10sqrt2)/5
=5(3-2sqrt2)/5
=3-2sqrt2

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