Answer:
Let us consider that 3root2 is a rational number. It can be written in the form p/q (p and q are co primes)
p/q = 3root2
p/3q = root2
Now,
p/3q = integer/integer
= rational number
But, this contradicts the fact that root2 is irrational.
Therefore, our assumption that 3root2 is rational is WRONG.
Hence, 3root2 is an irrational number.
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Answers & Comments
Answer:
Let us consider that 3root2 is a rational number. It can be written in the form p/q (p and q are co primes)
p/q = 3root2
p/3q = root2
Now,
p/3q = integer/integer
= rational number
But, this contradicts the fact that root2 is irrational.
Therefore, our assumption that 3root2 is rational is WRONG.
Hence, 3root2 is an irrational number.
Answer:
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