:With this equation, the term under the square root sign is zero, and the mass is zero too, so you end up with zero divided by zero, which is talk ) 17 : 48, 18 June 2008 ( UTC)
12.
:: Um, no, because if the square root sign implied both roots, then we wouldn't have to write the plus-or-minus sign . \ sqrt { }, as a function over the positive reals, is defined as the positive square root.
13.
Taking the square root of a number is such a common mathematical operation, that the spot on the root sign where the exponent would normally be written for cubic roots and other such roots, is left blank for square roots, as it is considered tacit.
14.
"Simplest radical form " as it is sometimes called, requires no radicals in denominators nor denominators in radicals, and also no square factors under square-root signs, or cube factors under cube-root signs, etc . There's nothing necessarily incorrect about other forms & mdash; which form one should use depends on context and purpose.
15.
Well, v ^ 2 / c ^ 2 turns out to be 1.21 so the number inside the square root sign works out to be-0.21 . . . soooo . . . the mass / length / time-distortion experienced by an object moving at 1.1c is the square root of a negative number.
16.
"Simplest radical form " as it is sometimes called, requires no radicals in denominators nor denominators in radicals, and also no square factors under square-root signs, or cube factors under cube-root signs, etc . There's nothing necessarily incorrect about other forms & mdash; which form one should use depends on context and purpose.
17.
:: Richard Feynman in his book " Surely You re Joking " makes the point that sin and cos and tan are not the best way to present a function because it looks like s times i times n . he perfered using symbles simmalar to a square root sign, which make clear that it is a function acting on something.
