# Which expressions below equal a rational number?

# (a) 2⎷2 - ⎷8 (b) 5⎷3 × 2⎷3 (c) 2⎷2 ÷ 2

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0.

## Answer: The expressions that are rational numbers are (a) 2⎷2 - ⎷8 (b) 5⎷3 × 2⎷3

Let's evaluate the following expressions

## Explanation:

(a) 2⎷2 - ⎷8 = 0

=> 2⎷2 - 2⎷2 = 0 (Since, ⎷8 = 2⎷2 )

0 is a rational number because it can be written as 0/1

(b) 5⎷3 × 2⎷3 = 30

=> 5 × 2 × ⎷3 × 3

=> 5 × 2 × ⎷9

=> 5 × 2 × 3 = 30

All natural numbers are rational numbers.

So, 30 is a rational number.

(c) 2⎷2 ÷ 2 = ⎷2

⎷2 is an irrational number as its decimal expansion is non terminating non-repeating