Question

prove that √5 is irrational​

Answer 1

Answer:

yes it is an irrational number

Answer 2

Step-by-step explanation:

let us take √5 is rational no.

and a and b be co prime no.

√5 = a/b

so we can write b√5 = a

squaring both side {b√5 ] = a

b sq.×5 = a sq.

we know that 5 divides a also

so we can write a =2c for some integer c

then 5bsq. =5 sq.

5b sq. = 25

b sq. = 5

this mean 5 divides b also.

a and b have common factor 5

therefore √5 is irrational no.