Question

show that 2√3/5 is irrational​

Answer 1

Hey mate,.

Let it be rational number

therefore it can be written in form of a

and b where a and b are co-prime numbers.

=> 2√3=5a/b

5a/b is rational number as it is of the form p/q which is a rational number.

but we know that √3 is irrational number

so our assumption is wrong.

Hence, 2√3/5 is irrational.

Hope it will help you with.

✨sai

Answer 2

HEY....!!!!

Here ur answer... ^_^

Let 2root 3 / 5 be a rational no. in the form a/b where, a and b are integers.

Now,

2root3 / 5 = a / b

2root3 = 5a / b

root3 = 5a / 2b

Here. since a/b is a rational no., so 5a / 2b is also a rational no.

Hereby, root3 should also be a rational no.

But this contradicts tha fact that root3 is a rational no.

So, our assumption is wrong and hence 2root3 / 5 is an irrational no.

✌✌⭐Hope its help ful⭐✌✌