Prove that √2 +√7 is an irrational number.
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Hey!!!
Let us assume that root 2 + root 7 is rational,
we have, a and b as co-primes ,a/b where b is not equal to 0
root 2 + root 7 = a/b
root 2 = a/b - root 7.....(1)
as root 2, a, b, and root 7 are rational nos
therefore, equation 1 is rational no
but, it contradicts the fact that root 2 and root 7 are irrational
therefore our assumption was wrong
thus, root 2 + root 7 is irrational no
hope i helped u
plz mrk it as brainliest
Let us assume that root 2 + root 7 is rational,
we have, a and b as co-primes ,a/b where b is not equal to 0
root 2 + root 7 = a/b
root 2 = a/b - root 7.....(1)
as root 2, a, b, and root 7 are rational nos
therefore, equation 1 is rational no
but, it contradicts the fact that root 2 and root 7 are irrational
therefore our assumption was wrong
thus, root 2 + root 7 is irrational no
hope i helped u
plz mrk it as brainliest
plzz mrk it as brainliest later on plz
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