Question

Examine, wheather the number6/3underroot2 is rational or irrational
Mational number and show it​

Answer 1

Step-by-step explanation:

6/(2√3) is also an irrational number. IRRATIONAL NUMBER : The number which cannot be expressed into the form p/q, where p and q are integers with q ≠ 0, is called an irrational number.

Answer 2

Answer:

Let us assume, to the contrary, that 3

2

is

rational. Then, there exist co-prime positive integers a and b such that

3

2

=

b

a

⇒

2

=

3b

a

⇒

2

is rational ...[∵3,a and b are integers∴

3b

a

is a rational number]

This contradicts the fact that

2

is irrational.

So, our assumption is not correct.

Hence, 3

2

is an irrational number.