Question

prove that 5 - 3√7 is irrational​

Answer 1

Step-by-step explanation:

suppose 5-3√7 is a rational number.So, we can express it in the form of p/q where q is not equal to 0. They have no common factor except 1.

p/q = 5-3√7

5-p/q = 3√7

5q-p/q = 3√7

if p/q is a rational number then 5p-q/q is also a rational and 3√7 also a rational.

But it contradict s our supposition that 5-3√7 is a rational number. Hence 5 - 3√7 is a irrational proved.

Answer 2

This hopefully may help you