Question

Show that √8 is a rational number

Answer 1

Answer:

√8 is not a rational number

Explanation:

rational number is in the form of p/q

but √8 is not in the form of p/q

Answer 2

Answer:

Rational numbers are those which can be expressed in fraction form. That means that can be written in a/b form or a:b form.

Here we have to see if √8 is a rational number or not.

So by prime factorisation method , we found out that √8 is equal to √2×2×2.

That means it is equal to 2√2.

Now, according to the definition of rational numbers, 2√2 can not be expressed in fraction format.

Hence √8 is not a rational number.