prove that 13+25root 2 is irrational
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13+25=38, so all you need to do is show 38 square rooted is 6.16441400296... hope this helps ya
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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
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
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