Question

show that 5+3 root 2 upon 4 is irrational if root 7 is irrational​

Answer 1

Answer:

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