Question

prove that root5 is irrational​

Answer 1

Step-by-step explanation:

let us assume that √5 is rational number and √5=a/b where a and b are co-primes and b is not equal to 0.

so, √5 = a/b

squaring both sides,

it would be come as

5 =a2 /b2

and 5b2 =a2..... (i)

this shows that a is divisible by 5

now let us consider a = 5m

put value of a in eq. 1

5b2 = 25m2

b2 = 5m2

we find that b is also divisible by 5, but we have assumed that a and b are co- primes. So, our assumption was wrong and √5 is irrational.

Hence, √5 is irrational

Answer 2

Here is your answer user.