Step-by-step explanation:
Let 1/√7 be rational number
1/√7 = p/q
1/√7 = a/b ( where a& b are co primes )
√7 = 1a / b
Since a & b are integers , definitely 1a/b is rational number , also √7 is also rational number .
But this contradicts that √7 is irrational .
Our assumption is wrong .
Therefore 1/√7 is irrational .
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Answers & Comments
Step-by-step explanation:
Let 1/√7 be rational number
1/√7 = p/q
1/√7 = a/b ( where a& b are co primes )
√7 = 1a / b
Since a & b are integers , definitely 1a/b is rational number , also √7 is also rational number .
But this contradicts that √7 is irrational .
Our assumption is wrong .
Therefore 1/√7 is irrational .