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sqrt(-48) = sqrt(48)i = sqrt(16x3)i = 4sqrt(3)i
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How can there be a square root of a negative number?
Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.
How many square roots do negative numbers have?
Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.
What is 4 times the square root of 3 times 2?
4 times the square root of 5. it's undefinable so that's the most you can simplify it without using imaginary numbers
3x3 magic square using positive and negative numbers?
123 123 123
What is the square root of -45 using imaginary numbers?
Square root of -45 = (-45)1/2 = (-3x3x5)1/2 = 3(-5)1/2 = 351/2i
How can there be a square root of a negative number?
Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.
What type of problems have imaginary numbers?
Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.
How many square roots do negative numbers have?
Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.
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 4 times the square root of 3 times 2?
4 times the square root of 5. it's undefinable so that's the most you can simplify it without using imaginary numbers
What are the Order of Operations when simplifying a negative square root if using the quadratic formula to solve a quadratic formula?
The usual rules for "order of operation" apply. Don't forget that the square root of a negative number is an imaginary number. As an example, the square root of -9 is 3i (that is, the square root of +9, times the "imaginary unit").
Is a negative sign has a square root?
Yes, a negative sign has a square root.This is done through using the imaginary unit defined as: i = .for example the square root of -36 is square root of (-1) multiplied by square root of 36. Accordingly it equals 6i
If area of a circle is A equals pi X the square root of -2 the quantity squared does one need to take out an imaginary number?
You will never have an imaginary number when finding the area of a circle. Never. Imaginary numbers came to be when mathematicians were upset that a negative number couldn't have a square root. You will usually find them when using the quadratic formula.
What is the square root of negative 54 using imaginary numbers?
±3i√6 Rounded to two decimal places, the square root of +54 is equal to ±7.35. Therefore, the square root of -54, rounded to two decimal places, is equal to ±7.35 i.
How do you simplify negative 3 times cube root of negative 3?
Using the symbol "^" for power. (-3)^1 * (-3)^(1/3) = (-3)^(4/3).
Why cant you evaluate the square root of negative twenty five using real numbers?
using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number
What is x squared plus 144 equals 0?
You can work this out by using what we call "imaginary" numbers. By definition, imaginary numbers are numbers that when squared, will produce a negative value. Usually these are represented by multiplying real numbers by a constant called "i", which is defined as the square root of negative one.In this case the answer will be:x2 + 144 = 0∴ x2 = -144∴ x = -1441/2∴ x = 1441/2 * -11/2∴ x = 12i
