Math, asked by Haajidhnisha14, 1 year ago

simplify the following by rationalizing the denominator 6 minus 4 root 3 by 6 + 4 root 3​

Answers

Answered by aniketkabaddi01
3
6-4√3/6+4√3

multiplying by denominator But Reversing Its Middle Sign

6-4√3/6+4√3 x 6-4√3/6-4√3

(6-4√3)²/(6)²-(4√3)²

36+48-48√3/36-48

84-48√3/-12
48(2-√3)/-12
-4(2-√3)
or -8+4√3 is the Answer

Haajidhnisha14: 36+48 ok how come -48 will come
Haajidhnisha14: then how 36/12
aniketkabaddi01: Let me check
aniketkabaddi01: 6²+(4√3)²+2*6*4√3
Haajidhnisha14: did you know any other method
Haajidhnisha14: pls send because I can't understand this
Haajidhnisha14: pls send me fast tommarow exam
aniketkabaddi01: Dear This is The Only Method As Here is 6+4√3 so just multiply Both Numinator And Denominator By 6-4√3
aniketkabaddi01: Then You will Get The Answer
Answered by Ayushrout
2
6-4√3/6+4√3
6-4√3+24√3/6 it will divided by √3 term
6+20√3/6
36+20√3/6

is your answer
Attachments:

Haajidhnisha14: how come root 3 will be divided
Ayushrout: but i am dividing by whoe term
Ayushrout: whole
Haajidhnisha14: I think so...
Ayushrout: wait
Ayushrout: i will tell you solution
Haajidhnisha14: ok
Haajidhnisha14: but from my book back the answer in 7-4root3
Ayushrout: all the in denomenator
Ayushrout: term
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