Question

simplify the expression 2 over 2+square root of 3

Answer 1

do you know what mean the conjugate of 2+sqrt3 ?

Answer 2

no

Answer 3

but i think that you have learned

Answer 4

could you explain?

Answer 5

so do you know formula a^2 -b^2 = ?

Answer 6

factorized

Answer 7

yeh

Answer 8

so than write it here now please

Answer 9

courage i will help you

Answer 10

so your exercise is

2
---------- =
2 + sqrt 3

Answer 11

i dont understand like can you work it out?

Answer 12

so this i wann you learne it now

Answer 13

yeah I learn when I see things worked out

Answer 14

so there is this fraction with radical on determinant and when you need to simplify it this meaning that you need meking calculi so than the radical will be eliminated from determinant

this is ok ?

Answer 15

so there is on determinant 2 +sqrt3

when i have asked you that you know it sure formula a^2 -b^2 = (a-b)(a+b)

here is factorized

Answer 16

than this meaning that when you multiplie the (a-b) by conjugate what is (a+b) so than you will get like result a different of two square

Answer 17

ok ?

Answer 18

so in case of your exercise this will be so


there is on determinante 2+sqrt3

so 2+sqrt3 has a conjugate of 2-sqrt3 becasue (2+srt3)(2-sqrt3)=4-3 =1

than your exercise will be


2 2(2 -sqrt3) 4 - 2sqrt3 4 -2sqrt3
------------ = ----------------- = --------------- = --------------
2 +sqrt3 (2+sqrt3)(2-sqrt3) 4 - 3 1


= 4 -2sqrt3

do you understand it ?