prove that √2+√7 is an irrational number
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Answered by
14
Answer:
hi
Step-by-step explanation:
Suppose (sqrt(2) + sqrt(7)) is not irrational but rational number and equal to r. Then ,
[math] [/math]sqrt(2) + sqrt(7) = r [math]==>[/math] sqrt(2) = r - sqrt(7) ==> 2 = r^(2 ) + 7 - 2r sqrt(7) or
sqrt(7) = (r^(2) + 5)/2r . But r.h.s. here is a rational number while l.h.s. is an irrational number, a contradiction .
Answered by
2
Answer:
oh,,dry actually only in 7 class ....
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