Question

show that 3 root 2 is irrational​

Answer 1

Let us take

√2 is a rational no.

√2 =a/b( a and b are Coprime , b is not equal to 0)

then √2b=a

squaring on both sides

(√2b)2= a2

2b2=a2

2b2/a2 =0

here a2 is divisible by 2 also a is divisible by 2

take a = 2c

2b2=(2c)2

2b2= 4c2

here b2 is divisible by 2 also b is divisible by 2,a and b have a common factor 2

a and b are not Coprime

this contradiction rises due to our wrong supposition, that a and b are Coprime

therefore √2is irrational

in case if √3 , we can follow the same points by taking √2=√3

Answer 2

Answer:

Step-by-step explanation:

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