Question

Barun said says, "The number sqrt49 is an irrational number." Do you agree or disagree? Explain using the definition of rational and irrational numbers.

Answer 1

Answer: Disagree. sqrt(49) is rational

Here's why:

sqrt(49) = sqrt(7^2) = 7

We can write 7 as a ratio or fraction of two integers 7 = 7/1

This shows that 7 is rational, so that makes sqrt(49) rational as well.

An irrational number is one where we cannot write it as a fraction of two integers. An example of an irrational number would be pi. Another irrational number is sqrt(2).

Note: the denominator can never be zero.