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It is NOT rational, but it IS real.
Start with Euler's formula: e^ix = cos(x) + i*sin(x) for all x.
When x = pi/2,
e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = 0 + i*1 = i
or i = e^(i*pi/2)
Raising both sides to the power i gives
i^i = e^[i*(i*pi/2)] = e^[i*i*pi/2]
and since i*i = -1,
i^i = e^(-pi/2) = 0.20788, approx.
What else can I help you with?
Is 3.14 to the second power rarional?
YES Any rational number taken to any integer power is still rational. Now if you meant to refer to the irrational number Pi - which is approximately 3.14159..., then squaring it does not make it rational.
When evaluated using rational values for the variables will result in an a rational number?
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
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Obviously not, given war's destructive power. Sadly, humans do not always make rational decisions.
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No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
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No, it is rational.
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Brand Power provides unbiased and rational information to people about grocery products so they can make more informed purchasing decision when they are in the supermarket.
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Any rational positive number is still rational when you make the same number negative.
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They make a rational number.
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Can you make a fraction from it? -14.3 = -143/100 A fraction is a ratio, therefore rational. This is a rational number. ■
Does a Power of attorney have the right to speak for a resident from the time the Power of attorney is designated?
No if it is for your will they speak for you when you are no longer here. If it is a health power of attorney they may speak when you are alive and only for the good of you health,and only when you can not make a rational decision.
Can pi be expressed as a rational number?
It can be rounded to 3.14, this however does not make it a rational number.
What is the important of rational numbers?
i have to make a project please help me on uses of rational numbers
