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What is the nonnegative square root of a number?
Definition of Square Root: The Square Root of a number 'X' is equal to 'A' when X=A*A By definition, the square root of a positive number has two answers, one negative and one positive, that have equal magnitudes. i.e. The square roots of 4 are 2 and -2. The Non-Negative Square Root is simply asking for the positive root.
Is the square root of one hundred less than or greater than or equal to twenty half's?
Equal, because the square root of 100 is 10, and 20 halves is also 10.
What is the square root of -363?
Such that the square root of 363 is equal to 19.05256 (rounded to five decimal places), the square root of -363 is euqal to 19.05256 i. The lower-case letter i represents the square root of minus one, an imaginary number.
What is the proof that a and b are positive numbers and a is less than b then the square root of a is less than the square root of b?
You cannot prove it because it is not necessarily true. A = 16 < B = 25 But one square root of A = +4 is not less than one square root of B = -5.
Does the square root of ab equal square root of a Times Square root of b?
Yes, that is correct. It is one of the basic properties of surds, and is used in many identities and some equations, to simplify and calulate and prove.
