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)
“The square dance fiddler’s first concern is to carry a tune, but he must carry it loud enough to be heard over the noise of stamping feet, the cries of the “caller,” and the shouts of the dancers. When he fiddles, he “fiddles all over”; feet, hands, knees, head, and eyes are all busy.”
—State of Oklahoma, U.S. public relief program (1935-1943)
“Where the world ends
The mind is made unchanging, for it finds
Miracle, ecstasy, the impossible hope,
The flagstone under all, the fire of fires,
The roots of the world.”
—William Butler Yeats (1865–1939)