Math, asked by yoyoyoyo74ywywy, 11 hours ago

values of a and b if 5√2 +3 /5√2-7 = a-b √2​

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Answered by rhythm2213
1

Answer:

hope u get this well

Step-by-step explanation:

it is a+b_/2 instead of a-b_/2

thnxx

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Answered by sandy1816
1

 \implies \:  \frac{5 \sqrt{2} + 3 }{5 \sqrt{2}  - 7}  = a - b \sqrt{2}  \\  \implies \:  \frac{5 \sqrt{2} + 3 }{5 \sqrt{2}  - 7}  \times  \frac{5 \sqrt{2} + 7 }{5 \sqrt{2}  + 7}  = a  - b \sqrt{2}  \\  \implies \frac{50 + 35 \sqrt{2} + 15 \sqrt{2}  + 21 }{50 - 49}  = a - b \sqrt{2}    \\  \implies \: 71 + 50 \sqrt{2}  = a - b \sqrt{2}  \\ comparing \: both \: sides \: we \: get \\ a = 71 \:  \:  \: and \:  \:  \: b =  - 50

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