Simplify 4/(√5+ √2) - 3/(√5- √2)

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asked Mar 7, 2022 14.5k views

1 vote

Simplify 4/(√5+ √2) - 3/(√5- √2)

Mathematics
college

Lilly asked

by Lilly

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1 Answer

7 votes

Explanation:

$(4)/( √(5) + √(2)) - (3)/( √(5) - √(2) ) = \\ = (4( √(5) - √(2) ) - 3( √(5) + √(2) ) )/(( √(5) + √(2) )* ( √(5) - √(2) )) = \\ = (4 √(5) - 4 √(2) - 3 √(5) - 3 √(2) )/(5 - √(10) + √(10) - 2 ) = \\ = ( √(5) - 7 √(2) )/(3)$