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)
“If the physicians had not their cassocks and their mules, if the doctors had not their square caps and their robes four times too wide, they would never had duped the world, which cannot resist so original an appearance.”
—Blaise Pascal (1623–1662)
““Jim,” she said earnestly, “if I was put down there in the middle of the night, I could find my way all over that little town; and along the river to the next town, where my grandmother lived. My feet remember all the little paths through the woods, and where the big roots stick out to trip you. I ain’t never forgot my own country.””
—Willa Cather (1873–1947)