Question

prove that underoot 3is an irriationl number​

Answer 1

Answer:yes

It is as below

Step-by-step explanation:let us assume that √3is an rational no. Then it can be represented in the form of a/b

Therefore

√3=a/b

By squaring both the sides

3=a square / b square

Now b square =a square /3

3 divides a square therefore it divides a also now lets take similarly 3 divides b

But we know that a and b cannot have any other root other than 1 therefore √3 is irrational