Math, asked by God05, 2 months ago

√3-1 /√3+1
- Determine the rational numbers a and b if
√3+1 /√3-1
= a + √3b.​

Answers

Answered by bcsharma1945
0

Answer:

a= 2, b=-1

Step-by-step explanation:

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Answered by sandy1816
0

\frac{ \sqrt{3} - 1 }{ \sqrt{3} + 1 }  +  \frac{ \sqrt{3}  + 1}{ \sqrt{3} - 1 }  = a +  \sqrt{3} b \\  \\  \frac{( { \sqrt{3} - 1 })^{2} + ( { \sqrt{3} + 1 })^{2}  }{3 - 1}  = a +  \sqrt{3} b \\  \\  \frac{2(3 + 1)}{2}  = a +  \sqrt{3} b \\  \\ 4 = a +  \sqrt{3} b \\  \\ comparing \:  \: both \:  \: sides \\ a = 4 \:  \:  \:  \:  \:  \: b = 0

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