Register

PROVE STEP BY STEP (1)/(2+√(3) ) +(2)/(√(5)-√(3) )+(1)/(2-√(5) ) } = 0<img src="-f-.jpg" alt>

PROVE STEP BY STEP (1)/(2+√(3) ) +(2)/(√(5)-√(3) )+(1)/(2-√(5) ) } = 0<img src="-f-.jpg" alt>
asked 12.1k views
3 votes
PROVE STEP BY STEP
(1)/(2+√(3) ) +(2)/(√(5)-√(3) )+(1)/(2-√(5) ) } = 0


asked
User Tal Rofe
by
8.1k points

2 Answers

3 votes

Answer:

Explanation:


(1)/(2+√(3))=(1*(2-√(3)))/((2+√(3))*(2-√(3)))\\\\=(2-√(3))/((2)^(2)-(√(3))^(2))=(2-√(3))/(4-3)\\\\=(2-√(3))/(1)=2-√(3)\\\\(2)/(√(5)-√(3))=(2*(√(5)+√(3)))/((√(5)-√(3))*(√(5) +√(3)))\\\\=(2*(√(5)+√(3)))/((√(5))^(2)-(√(3))^(2))=(2*(√(5)+√(3)))/(5-3)\\\\=(2*(√(5)+√(3)))/(2)=√(5)+√(3)\\\\


(1)/(2-√(5))=(1*(2+√(5)))/((2-√(5))*(2+√(5)))\\\\=(2+√(5))/((2)^(2)-(√(5))^(2))\\\\=(2+√(5))/(4-5)=(2+√(5))/(-1)\\\\= -2-√(5)\\\\\\\\(1)/(2+√(3))+(2)/(√(5)-√(3))+(1)/(2-√(5))=2-√(3)+√(5)+√(3)-2-√(5)=0

answered
User Sjoerd Van Kreel
by
8.0k points
3 votes

Answer:

look at the photo below for the details.

:)

PROVE STEP BY STEP (1)/(2+√(3) ) +(2)/(√(5)-√(3) )+(1)/(2-√(5) ) } = 0<img src-example-1
answered
User Raoof Naushad
by
8.4k points
← Prev Question Next Question →

Related questions

User Maxim Vasiliev
asked Dec 22, 2019 10.6k views
write in the simplest form (2-√(7) ) (1+2√(7) )<img src="-f-.jpg" alt>
Maxim Vasiliev asked Dec 22, 2019
by Maxim Vasiliev
8.1k points
1 answer
2 votes
10.6k views
User Topherjaynes
asked Jul 9, 2024 217k views
If the average of 7, 12, 6 <img src="-f-.jpg" alt> , 10, and p is 8, find the value of p.​
Topherjaynes asked Jul 9, 2024
by Topherjaynes
8.4k points
2 answers
2 votes
217k views
User Datalifenyc
asked Sep 23, 2016 140k views
9n+ 2/3n=4 What does N equal?<img src="-f-.jpg" alt>
Datalifenyc asked Sep 23, 2016
by Datalifenyc
9.0k points
1 answer
3 votes
140k views
Ask a Question
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
Link Copied!