Question

prove that 1/√5 is an irrational number​

Answer 1

hope this helps you to understand

Answer 2

Answer:

here is your ans..

I have also attached a pic.

Let us assume that

root 5

by

1

be a rational number.

Then, it will be of the form

b

a

wher a and b are co-prime and b



=0.

Now,

b

a

=

5

1

⇒

b

a

=

5∗

5

1∗

5

⇒

b

5a

=

5

Since, 5a is an integer and b is also an integer.

So

b

5a

is a rational number.

⇒

5

is a rational number.

But this contradicts to the fact that

5

is an irrational number.

Therefore, our assumption is wrong.

Hence,

5

1

is an irrational number.

Step-by-step explanation:

I hope it helps you harini