. Check whether
7/√5
is irrational or not
Answers
Answered by
1
Answer:
7√5 can be written in the form of a/b where a, b are co-prime and b not equal to 0. here √5 is irrational and a/7b is rational number. ... Therefore, 7√5 is an irrational number.
Answered by
1
Step-by-step explanation:
Let us assume that 7√5 is rational number
Hence, 7√5 can be written in the form of a/b where a, b are co-prime and b not equal to 0.
7√5 = a/b
√5 = a/7b
here √5 is irrational and a/7b is rational number.
Rational number ≠ Irrational number
It is contradiction to our assumption 7√5 is rational number.
Therefore, 7√5 is an irrational number.
Hence, proved.
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