prove that 4by root 2 is irrational
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Answered by
1
Answer:
Step-by-step explanation:
Let 4/√2 = irrational
=4/√2= p/q (where p and q are co primes and q is non zero)
√2 = 4(p/q)
We know that √2 is irrational number
But 4(p/q) is rational
It is a contradiction
Hence 4/√2 is irrational number.
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Answered by
0
Step-by-step explanation:
Let 4√2 be rational no of form p/q.
4\√2 = p/q
√2=4q/p
RHS is rational according to our assumption.
But we know the fact that √2 is an irrational number.
Hence our assumption was wrong.
Therefore 4/√2 is an irrational number.
#HenceProved
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