is there a square root of negative numbers?
28426
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
1118806
This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.
485146
In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.
1292156
“I” squared is the same thing as the square root of negative 1 times the square root of negative one. Since we know that square rooting and squaring are opposites, the two will cancel each other out, leaving you with negative 1. I hope this helps.
136672
A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. ... The symbol is √ which always means the positive square root.
1343313
It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do? The square root of a negative number does not exist among the set of Real Numbers.
788345
The square root of a negative number does not exist among the set of Real Numbers.
18550
Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.
1035413
The square roots of the perfect squares (0, 1, 4, 9, 16, etc.) are integers. In all other cases, the square roots of positive integers are irrational numbers, and therefore their decimal representations are non-repeating decimals.
396755
The square roots of 4900 are 70 and -70 and the same isn't applicable to any positive number, that is it will have a positive and a negative root.
753362
The positive square root, most commonly thought of, of 1 is 1. ... The square root of a number is another number multiplied by itself that equals the first number. 1 x 1 =1 so the square root of 1 is 1. And -1 x -1 also equals 1, so 1 and -1 are the square roots of 1.
966907
This relationship is always true: If you get a negative value inside the square root, then there will be no real number solution, and therefore no x-intercepts. In other words, if the the discriminant (being the expression b2 – 4ac) has a value which is negative, then you won't have any graphable zeroes.
600585
Yes, you can square a negative number. In fact, any number at all can be squared, even numbers like pi and 0. This is because to square a number just means to multiply it by itself.
778349
['First, to square a number, multiply the number by itself. ... ', 'The square root of 16 is 4.', 'Instead of using the SQRT function, you could also use an exponent of 1/2. ... ', 'If a number is negative, the SQRT function returns the #NUM! ... ', 'You can use the ABS function to remove the minus sign (-) from a negative number.']
283464
In other words, any negative integer n can be written as n = n/1, here n is negative and 1 is positive. Hence, every negative integer is a negative (-ve) rational number. Note: The rational number 0 is neither positive nor negative. 3/(-8) is a negative rational.
1388121
Explanation: Yes, rational and irrational numbers can be negative. ... Negative numbers are to the left of 0 on number line. By definition, rational numbers are a ratio of two integers p and q , where q is not equal to 0 .
1047327
The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .