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Square root of -45 = (-45)1/2 = (-3x3x5)1/2 = 3(-5)1/2 = 351/2i

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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.


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.


What are imagery numbers?

imaginary numbers are numbers that are a negative square root, which is not possoble therefor it is called and imaginary number. ex the square root of -24 is an imaginary number


What are imagery?

imaginary numbers are numbers that are a negative square root, which is not possoble therefor it is called and imaginary number. ex the square root of -24 is an imaginary number


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 an imaginary number?

The square root of a negative real number is an imaginary number.We know square root is defined only for positive numbers.For example,1) Find the square root of (-1)It is imaginary. We say that square root of (-1) is i.In fact they are not real numbers.2) Find the square root of (-4)-4 can be written as (-1)(4)Square root of 4 is 2 and square root of (-1) is iSo, the square root of -4 is 2i.Similarly, we can find the square root of other negative numbers also.Source: www.icoachmath.comAn imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.


Is the square root of 2 imaginary?

No, but it is irrational, because there is no rational number whose square is two. Imaginary numbers are the square roots of negative numbers.


How do you turn imaginary numbers into real numbers?

The imaginary number (i) is defined as the square root of -1. If you multiply i by i you get -1


What is the square root of -8x3?

-8x3 = -24 which has no square root in Real numbers. The square root of -24 is ±4.898979*i where i is the imaginary square root of -1.


What does i stand for in imaginary numbers?

i stands for the square root of negative one.


Is the square root of -4 irrational?

The square root of -4 is not irrational, it is imaginary. Irrational numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.In calculus, the root is expressed as 2i where iis the square root of -1.


Is the square root of negative 25 a rational number?

The square root of -25 is not a real number, as it involves taking the square root of a negative number which results in an imaginary number. In this case, the square root of -25 is 5i, where i represents the imaginary unit. Since rational numbers are a subset of real numbers, the square root of -25, being an imaginary number, is not a rational number.