Question

How to solve 2/3√6. Is it rational or irrational ??


Plzz help me to do this

Answer 1

Answer:

it is irrational

Step-by-step explanation:

2/3√6=a/b

√6=2b/3a

now find √6 by a/b=√6

b√6=a

SBS b^2 6=a^2

Answer 2

Answer:

Step-by-step explanation:

Let assumed that 2/3√6 be rational number and co prime number

So,2/3√6 =P/Q

√6 =P/Q × 3/2

√6= 3P/2Q

Since P and Q are integers so

3P/2Q is rational

Thus, √6 is also rational

But √6 is a irrational number

So our assumption is in

Hence, 2/3√6 is a irrational

number.