Multiplication of Square Roots
Care must be used in multiplying square roots of negative numbers. For example, the following reasoning is incorrect:
The fallacy is that the rule, where the principal value of the square root is taken in each instance, is generally valid only if at least one of the two numbers x or y is positive, which is not the case here.
Read more about this topic: Imaginary Number
Famous quotes containing the words multiplication of, square and/or roots:
“Civilization is a limitless multiplication of unnecessary necessaries.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Rationalists, wearing square hats,
Think, in square rooms,
Looking at the floor,
Looking at the ceiling.
They confine themselves
To right-angled triangles.”
—Wallace Stevens (1879–1955)
“Sensuality often accelerates the growth of love so much that its roots remain weak and are easily pulled up.”
—Friedrich Nietzsche (1844–1900)