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An irrational number is a subset of the set of real numbers. So a rational number is an number which can be expresses as a ratio (fraction) of a/b where a is any integer, and b is any nonzero integer. Note that integers are real numbers. So Irrational Numbers are all real numbers which are not rational numbers.
Note that all of the numbers so far are real numbers. Now for imaginary numbers. Look at the KhanAcademy video or MathsIsFun.
Take a number -1 and try to square root. Note that (-1) times (-1) equals positive 1. So we created a number i, which when squared equals -1. This is the imaginary unit number. Now you can take any real number, and multiply that by i to get any imaginary number.
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IS 8i an irrational number?
No, it is an imaginary number.
Is the square root of 1 an irrational number?
No. An irrational number is still a real number - it lives on the number line.The square root of -1 (known as i) is an imaginary number. It is on the imaginary axis of the complex plane.A number with components from the real axis and the imaginary axis is a complex number, and is on the complex plane.
Is square root -36 a irrational number?
The square root of negative 36 is an imaginary number and therefore not an irrational number. For a number to be irrational it must first be real.
Is the square root of -100 rational or irrational?
Neither. It's imaginary.
What number is both real and irrational?
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
