Question

show that 5√6 is an irrational number​

Answer 1

Answer:

Let 5√6 be a rational number, which can be expressed as a / b, where b ≠ 0 ; a and b are co-primes.

:. 5√6 = a / b

√6 = a / 5 b or,

√6 = rational

But, √6 is an irrational number. Thus, our assumption is wrong. Hence, 5√6 is an irrational number.