Math, asked by Anonymous, 1 year ago

√5+√3/√5-√3=a+b√15 find a and b

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Answered by Anonymous
7
HEY USER.......

HERE IS UR ANSWER ✅✅✅

QUES: √5+√3/√5-√3 = a+b√15

SOLUTION :- Firstly rationalize the denominator of LHS.

(√5+√3/√5-√3)*(√5+√3/√5+√3)

= (√5+√3)^2/(√5)^2 - (√3)^2

= (√5)^2 + (√3)^2 + 2*√5*√3

= 5 + 3 + 2√15

= 8 + 2√15

Here given ,,

(√5+√3/√5-√3) = a+b√15

=> 8 + 2√15 = a+b√15

Now, clearly a= 8 and b= 2.

HOPE IT HELPS.....☺✌

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dfgh4: iska common kon krega
dfgh4: a=4,b=1 it is the answer
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Anonymous: no
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Anonymous: ok
Anonymous: hor ji
Answered by RehanAhmadXLX
9
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