What is (4 to the square root of 81)5?
1 answer:
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Answer: The answer is (d) It is an irrational number.
Step-by-step explanation: Given formula for circumference of a circle is
where 'd' is the length of the diameter and a rational number.
We are to choose one of the given four options for the circumference 'c' of the circle.
We know that the circumference of a circle with diameter 'd' is given by
Comparing this with the given equation, we get
Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.
Hence, the circumference, c = rd is irrational.
Thus, the correct option is (d) It is an irrational number.