is 1/√2 is rational pls explain it
Answers
Answered by
7
Answer:
1/√2
So
(1/√2)×√2/√2
=√2/2
If it is rational,
√2/2=a/2b
Assuming a and b are lowest terms
Square both sides
2/4=a^2\4b^2
2b^2=a^2
So if a^2 is a multiple of 2, so too must a be so let a=2n
2b^2=(2n)^2
2b^2=4n^2
b^2=2n^2
So if b^2 is a multiple of 2, so too must b be.
However, as a and b share a common factor, this is a contradiction. So √2/2 is irrational.
Answered by
2
Answer:
no because root number should not be in denominator
Step-by-step explanation:
and make my answer as brainlist answer
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