Question

prove that root 3 is irrational​

Answer 1

Answer:

I can't prove but right answer is no

Step-by-step explanation:

please mark me to brainlist answer

Answer 2

Answer:

lets consider ✓3 as rational number,

so it can be written as ✓3=a/b

b✓3=a

on squaring both sides

we get,

( b✓3)²= a²

3b² = a² .......(1)

which shows that a is divisible by 3 and vice versa

so now lets take a= 3m for any integer

putting the value of a in eq(1)

we have

3b²= (3m)²

3b²= 9m²

b²= 3m

which shows that b is also divisible by 3

we now know that a and b has atleast one common factor which is 3 in this case but we can't say that they are co prime,thus, by law of contradiction our assumption that ✓3 is rational is wrong

in conclusion ✓3 is irrational