Question

if n is rational and root m is irrational, then prove that (n+rootm) is irrational

Answer 1

Let n=2 and root m=root5
2+root5
we know that 2 is a rational no. we can write it in the form of p/q.
And root5 is irrational no. it is not in the form of p/q.

we know that sum of rational and irrational no. = irrational.
then it is prove that n+rootm=irrational.

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Answer 2

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