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:
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—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Rationalists, wearing square hats,
Think, in square rooms,
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They confine themselves
To right-angled triangles.”
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“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)