Question

Root3-2root5 prove that irrational number

Answer 1

This is my answer hope this helpfull for everyone.

Answer 2

Step-by-step explanation:

root 3

let us assume that root 3 Is a rational number

root3/1= a/b about belongs to integers b not equal to zero

a, b are coprimes

(a,b) =1

root3b=a

squaring on both sides

3b square=a square

so

3/asquare so it will divide a

let a be 3k

3bsq=(3k)sq

bsq=3k sq

a and b are common factors= 3

(a,b)

the root 3is irrational number