Imaginary Number - Multiplication of Square Roots

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)

    “Houses haunt me.
    That last house!
    How it sat like a square box!”
    —Anne Sexton (1928–1974)

    “Now fades the lasts long streak of snow,
    Now burgeons every maze of quick
    About the flowering squares, and thick
    By ashen roots the violets blow.”
    —Alfred Tennyson (1809–1892)