Question

prove that √ 2 ,√ 3, √ 5 ,√ 7 ,√10 is irrational​

Answer 1

Step-by-step explanation:

I can prove only because it will become very lengthy but will get a glance to do it

I am taking √3

let P/q be a rational no. which is co prime

√3 = P/q

3= P square/q square (squaring both sides)

P square=3q square

if 3 is factor of p square then it will be also a factor of p too

P=3q (equation 1)

p=3 X k ( equation 2 )

p=3 X k ( k is an integer )

adding all the equations

3q square = 3k

q square = 9k

q= 3k

3 is a factor of q square then it will be the factor of q also

HENCE PROVED