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You can't have the square root of a negative number, because when you multiply two numbers of the same sign, you cannot get a negative number. (sqrt) -1 is an imaginary number symbolized by i.
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What is the nonnegative square root?
Every positive real number has two square roots: one negative and one positive. As a result, the square root mapping is one-to-many and so is not a mathematical function. One way to make it a function is to restrict the range to non-negative real numbers. These are the non-negative square roots.
Can a perfect square have a negative square root?
If a is any number, then a squared = (-a) squared, so one might say that a and -a are both square roots of a squared. However, the square root symbol always means the positive square root.
How do you simplify the expression 3i x -4i?
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What is the square root of 16x squared?
If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).
Is the square root of x2 x?
x2 actually has two square roots. One of them is indeed x. The other one is negative x.
Why is the value of iota square negative?
The value of iota square is negative one because that is how it is defined. Iota is defined as the square root of negative one, or iota square must be negative one.
Why is negativeroot not define?
The negative root is not defined because if you multiply two negative numbers together, the product is still positive. 2*2 =4 (-2)*(-2) =4 So, there is no real answer to the square root of a negative number. In higher math however, the square root of negative one is actually defined as i. The set of i is a set of imaginary numbers, and they have some special properties.
How do you do square roots with negatives?
Treat it like a positive and add an i. Explanation: The square root of negative nine is equal to the square root of nine times negative one is equal to the square root of nine times the square root of negative one. The square root of negative one represented by an italic lower case i. The square root of negative nine is 3i. √-9 = √9 * -1 = √9 * √-1 = 3i
What is the square root of a negative number plus the square root of a negative number?
Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)
How would you find the square root of negative 1?
One cannot find the square root of a negative number.
What is square root of negative four?
Two, multiplied by the square root of negative one. (2i) The square root of negative 1 is purely imaginary, but mathematicians don't have much else to be imaginative about.
What is the square root of negative 18 in radical form?
The square root of negative 18 is an imaginary number.The square root of positive 18 is [ 3 sqrt(2) ].If the 18 is negative, then scientists and engineers indicate its square root as 3i sqrt(2) . The little ' i ' indicates the square root of negative one.
Does a negative number have a square root?
Yes, but it's not real. The symbol i is used to designate the square root of negative one.
Is the square root of negative 16 a transcendental number?
No it is an Imaginary Number√-16 = 4ii is the square root of negative one
Is there any answer to what is the square root of minus one?
There is no real answer. The square root of negative one is denoted i for imaginary.
Why is there no solution to the square root of -169?
The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.
What is the nonenegative square root of a number?
Every number has two square roots ... a positive one and a negative one. Example: +2 and -2 are both square roots of 4, because when you multiply either of them by itself, the answer is 4. The positive square root of a number is the square root that's not negative. The non-negative square root of a number is the positive one.
