give me correct answer of this question plzz....
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Step-by-step explanation:
Let us suppose square root of 3 is rational number and gcd of p and q is one.
Then it will be written as
Squarring both sides
Above equation shows p divides 3q and it must be of the form say
P=3K
Put P=3k in above equation we will get
Solving further
We qet
Above equation show q is also a multiple of 3 means divisible by 3.
Its a contradiction because we have supposed the gcd of p and q is 1 means there are no divisors of p and q but we are getting divisors here. So square root of 3 is a irrational number.
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