Question

prove that 13+25root 2 is irrational

Answer 1

13+25=38, so all you need to do is show 38 square rooted is 6.16441400296... hope this helps ya

Answer 2

13+25√2-25. ( substraction of two rational number is rational )
13√2+13. ( substraction of two rational number is rational )
√2
we prove √2 is irrational



√2 is rational number.A rational in the form of p/q where q does not equal to 0 .a common factor 1
let p/q
p/q= √2

by square on both side

(p/q) ^2 =(√2)^2
p^2/q^2 = 2


p^2 =2q^2

q^2 = p^2/2

p^2 is divisible by 2
p is also divisible by 2

let p^2 = 2C


q^2 =(2C)^2/2



q^2=4C^2/2



q^2= 2C^2


C^2 = q^2/2

q^2 is divisible by 2
q is also divisible by 2


p and q have common factor as 2


our supporsition is wrong


√2 is irriational number