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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


Which choice is equivalent to the square root of -49?

The square root of -49 can be expressed using imaginary numbers. Specifically, it is equivalent to 7i, where "i" represents the imaginary unit defined as the square root of -1. Thus, the answer is 7i.


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 the square root of negative 125 using imaginary numbers?

The square root of negative 125 can be expressed using imaginary numbers. It is calculated as follows: (\sqrt{-125} = \sqrt{125} \cdot \sqrt{-1} = \sqrt{125}i = 5\sqrt{5}i). Thus, the square root of negative 125 is (5\sqrt{5}i).


Is it possible to determine the square (2nd) root of a negative number?

Yes, it is possible to determine the square root of a negative number by using imaginary numbers. Specifically, the square root of a negative number can be expressed using the imaginary unit (i), where (i) is defined as the square root of -1. For example, the square root of -4 is written as (2i). This concept is foundational in complex number theory.


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.