Any type of number that cannot be written as the quotient
of two Integers . They are non-terminating
Most irrational numbers result from findings roots of
certain other numbers. However,
there are also some irrational numbers that occur naturally, such as the number
(approximately 3.14) and the number e (approximately 2.72).
is an imaginary number
because the INDEX IS EVEN and the radicand is negative.
There is no real number that can be squared to get a result of -3. Therefore,
the solution to only exists in our
Again we finish by writing
. Sometimes, we want to change the radical expression to a decimal approximation (remember it is a non-terminating decimal)
in which case we write
Remember that it is customary to write the factor i AFTER
a number once the radical sign is eliminated .
Given the number -64, find its square root and cube root.
square root: ... an
imaginary number (the index is even)
cube root: ... a
rational number (the index is odd)
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