If x = ( √7 - √6 ) / (√7 + √6 ) and y =( √7 + √6 ) / (√7 - √6 ) , then the value of x + y is
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52
Answer:
the value of x+y is 26.
Step-by-step explanation:
x={(√7–√6)/(√7+√6)}×{(√7–√6)/(√7–√6)}
=(√7–√6)²/{(√7)²-(√6)²}
=(7+6–2√42)/(7–6)= (13–2√42)
y={(√7+√6)/(√7–√6)}×{(√7+√6)/(√7+√6)}
=(√7+√6)²/{(√7)²-(√6)²}
=(7+6+2√42)/(7–6)= (13+2√42)
Now,
x+y= 13-2√42+13+2√42
= 13+13
= 26..
Please mark my answer as a brainleast.......
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