Prove that 7 root 5 is not a rational number
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Answer:
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Step-by-step explanation:
Let us assume 7√5 is rational
7√5 =a/b, a nd b are co-primes, b is not 0
√5=a/7b
Since a and b are co-primes,
a/7b is rational and hence √5 is rational.
But we have proved that √5 is rational.
Thus contradiction has arisen because if our incorrect assumption.
Therefore, 7√5 us irrational.
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If we solve we get 5 (power)1/7
and rational number not have factional power
this proves that 7root 5 is not an rational number it is an irrational number.
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