prove that the following are irrational.
1/v2
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Step-by-step explanation:
Let us assume 1/√2 is a rational number
Let us assume 1/√2 = r where r is a rational number
On further calculation we get
1/r = √2
Since r is a rational number, 1/r = √2 is also a rational number
But we know that √2 is an irrational number
So our supposition is wrong.
Hence, 1/√2 is an irrational number.
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