Question

show that 5+3√2 is irrational​

Answer 1

Step-by-step explanation:

Let us assume the contrary.

i.e; 5 + 3√2 is rational

∴ 5 + 3√2 = a/b, where ‘a’ and ‘b’ are coprime integers and b ≠ 0

3√2 = a/b – 5

3√2 = a−5b/b

Or √2 = a−5b/3b

Because ‘a’ and ‘b’ are integers a−5b/3b is rational

That contradicts the fact that √2 is irrational.

The contradiction is because of the incorrect assumption that (5 + 3√2) is rational.

So, 5 + 3√2 is irrational

hope it is helpful for you sister.

Answer 2

here's your answer

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