Math, asked by macwandiya01gmailcom, 4 hours ago

if 7 is a prime number than prove √7 is a irrational number​

Answers

Answered by dibya2244
3

Answer:

If further implies that b2 is also divisible by 7. And Hence, we can say that b is also divisible by 7. Therefore, it implies that aand b have at least one common factor that is 7. Which implies that, √7 is an irrational number

Answered by swasti95
2

Answer:

In this question we have given 7is a prime number and let us assume that √7 is a rational number. As we know that any rational number can be represented in pqform ; q≠0. Now multiply by b on both sides we get, √7b=a. ... Which implies that, √7 is an irrational number.

Similar questions