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The square root of a number is a number which, when multiplied by itself, yields that original number. *Special note: Recall that two positive numbers when multiplied together equal a positive number, and two negative numbers when multiplied together equal a positive number. Let's look at some examples and it will become clear. 4 x 4 = 16 and -4 x -4 = 16 therefore the square root of 16 is +4 or -4. 6 x 6 = 36 and -6 x -6 = 36 therefore the square root of 36 is +6 or -6. Simple and easy. The square root of a positive number is both a positive and a negative number. But the square root of a negative number presents another problem. We can't multiply two identical numbers together to get a negative number because of the *Special note. So how do we evaluate the square root of, say, -4? We can't do it "directly" so we have to do it this way: sq rt -4 = (sq rt 4) x (sq rt -1) Note that we "broke down" the -4 into 4 x -1 so we'd have "room to work" the problem. We can evaluate the sq rt of 4 and get +2 and -2, and we'll write the sq rt -1 as i. The italicised "i" is used to denote sq rt -1 and permit us to find the square root of a negative number, and that "i" is for "immaginary number" here. There is no real number that can be found which is the square root of a negative number. We can only "imagine" the square root of a negative number, and the "i" lets us at least write something so we can make calculations.
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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.
What is the symbol used to indicate the positive square root of a number?
It is the RADICAL SIGN , its definition is - the symbol used to indicate a nonnegitive square root.
What is a square root spiral definition?
a square root spiral is a spiral formed by many right angled triangles, where, the hypotenuse of each triangle is the square root of a number.the first triangle is always an isoseles triangle, with its hypotenuse equal to square root of 2.
What are the square root number for 25?
The square root of 25 has two solutions: SQRT(25) = + 5 and -5The square root of a number, by definition, should be positive. Hence, the square root of 25 is 5. The other square root is -5. However, strictly speaking, -5 is not the square root of 25, since it is not a positive number.* * * * *The exclusion of the negative square root is plain nonsense.
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
What is the square root of a square that has no root?
It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.
Why is a square root called a square root?
One definition of "root" is "the basic cause, source, or origin of something." The source of a perfect square is the number that was multiplied by itself to create it: the root of the square, the square root.
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 63 a square root?
We will walk through the definition of the square root of 63, find out whether the square root of 63 is rational or irrational, and see how to find the square root of 63 by the long division method. ... Square Root of 63.
What is the definition of the multiply powers with the same base?
square root
What is the symbol used to indicate the positive square root of a number?
It is the RADICAL SIGN , its definition is - the symbol used to indicate a nonnegitive square root.
What is the mathematical definition of surd?
An irrational number such as the square root of 2
What is a square root spiral definition?
a square root spiral is a spiral formed by many right angled triangles, where, the hypotenuse of each triangle is the square root of a number.the first triangle is always an isoseles triangle, with its hypotenuse equal to square root of 2.
What are the square root number for 25?
The square root of 25 has two solutions: SQRT(25) = + 5 and -5The square root of a number, by definition, should be positive. Hence, the square root of 25 is 5. The other square root is -5. However, strictly speaking, -5 is not the square root of 25, since it is not a positive number.* * * * *The exclusion of the negative square root is plain nonsense.
Can numbers that are not square have square roots?
Yes and no. It depends on your definition of square root. By the actual one, yes. All non-negative numbers have a square root. That square root might be irrational but it has a square root, nonetheless. 10 isn't a square number because there's no integer that can be squared to make ten but 10 definitely has a square root: 3.16227766....... If by square root you mean an integer square root, then no. If a number has an integer as its square root then you could square that integer to get the number, making it a square number.
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
What is the definition of principal square root?
A number will have both a positive and negative square root 5 x 5 = 25 and -5 x -5 = 25.
