what is the square of negative 4?
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TL;DR: It's undefined, or doesn't exist/is an imaginary number, because you can't take the square root of a negative number. A square is the result of a number, multiplied by itself; when the two are whole numbers, the result is a perfect square. For example, 16 is a square - 4*4 = 16 - and so is 25 - 5*5 = 25.
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Answer and Explanation: The square root of 16 is 4, an integer.
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For example, in the integers, the square root of -1/4 is i/2.
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To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root. Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0.
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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.
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['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.']
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In general, every positive number has two square roots. However, a negative number does not have any square roots in the real number system. For example, the number -16 has no square roots because it is imposible to find a real number that when squared gives negative 16.
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['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!']
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“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.
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The square of 4 is 4x4. To show that a number is squared, a small 2 is placed to the top right of the number. Like this: These signs are the same as saying "3 squared, 4 squared, and x squared."
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Two answers! b. Square root of 4,( x 16)= 2 x 16 = 32.
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(See Algebraic closure and Fundamental theorem of algebra.) The term "imaginary" is used because there is no real number having a negative square. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero, which has one double square root.
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Q: Is 12 a Perfect Square? A: No, the number 12 is not a perfect square.
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The correct answer to the puzzle is 40 squares. That's right: It's not 8, 16, 24, 28 or 30, and we'll tell you why.
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The imaginary number "i" is the square root of negative one. An imaginary number possesses the unique property that when squared, the result is negative. Consider: The process of simplifying a radical containing a negative factor is the same as normal radical simplification.
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Here's another example: Simplify the square root of 68. Looking at it, I notice that 4 (a perfect square) goes into that. 68 = 4 x 17. And since 4 = 2^2, then 68 simplifies to 2 times the square root of 17.
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For y = x^2 - 1, the discriminant equals 0 squared - 4 times 1 times -1 or 0 plus 4. The square root of 4 is both plus 2 and minus 2, so that's why this function has two zeros. For y = x^2 + 1, the discriminant equals 0 squared - 4 times 1 times 1 or 0 minus 4.