Question

prove that root 2 + root 5 is irrational.

Answer 1

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Answer 2

Answer:

Let us assume 5√2 to be Rational

Then,

5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]

√2 = a / 5b

a / 5b is rational

But, we know √2 is Irrational

This contradiction arise due to our wrong supposition that 5√2 is Rational.

Hence,

5√2 is Irrational ! ! !

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