152k views
2 votes
Rationalise the denominator.
1/√5+√2​

User DonX
by
8.6k points

1 Answer

4 votes

Explanation:


(1)/( √(5) + √(2) ) \\ = (1)/( √(5) + √(2) ) * (√(5) - √(2) )/( √(5) - √(2) ) \\ \\ = \frac{ √(5) - √(2) }{ {( √(5)) }^(2) - {( √(2)) }^(2) } \\ \\ = ( √(5) - √(2) )/(5 - 2 ) \\ \\ = ( √(5) - √(2) )/(3)

User Petko M
by
8.1k points

Related questions

asked Oct 16, 2022 123k views
Aftershock asked Oct 16, 2022
by Aftershock
8.2k points
1 answer
2 votes
123k views
asked Dec 4, 2023 51.6k views
Chobicus asked Dec 4, 2023
by Chobicus
8.4k points
1 answer
16 votes
51.6k views
asked Feb 12, 2023 75.0k views
Jinhong asked Feb 12, 2023
by Jinhong
7.6k points
2 answers
11 votes
75.0k views