Which number produces an irrational number when multipled by 1/4
1 answer:
Answer: Any irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.
As an example of this we have
On the other hand, it is necessary to know the following:
-The multiplication of two rational numbers results in a rational number.
-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>
This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.
Therefore, the answer is: Any irrational number.
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Answer:
To find the exact vale of atan(-sqrt(3)) we're going to need the help of a calculator
atan(-sqrt(3)) = -1.04719755 rads.
If you take a look at the important angles, you will notice that the arc is minus 60 degrees which equals -1.04716755 radians.
