Question

prove that 5+3root7 is irrational

Answer 1

Step-by-step explanation:

Let 5-3√7be rational

i. e., 5-3√7=a/b (where a and b are co-primes )

now, 5-3√7=a/b

-3√7=a/b–7

√7=(7b–a) /3b

now, we know that under root 7 is a a irrational number but our answer contradicts this fact so our assumption that 5 - 3 under root 7 is rational is is wrong thus 5 - 3 under root 7 is is irrational

Answer 2

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