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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.
The square root of a negative value is called an imaginary or number?
Yes. The letter i denotes the value of the "positive square root" of -1. So i² = -1. But also (-i)² = -1 as well. Remember that for every number there is a "positive" and "negative" square root. So if you want the square root of -4, you can do this: -4 = (-1)(4). So sqrt(-4) = sqrt[(-1)(4)] = sqrt(-1)*sqrt(4) = i*2 or -i*2. We usually write these as 2i and -2i.
Is non-real numbers exist?
no, every number is a real number --- There are numbers that are not real numbers. They are called imaginary numbers, and have the property that when they are squared, the result is negative. The square root of -1 is called i, and the square root of any other negative number is i times the square root of the absolute value of the number. So the square root of -4 is 2i.
Is the square root of 16 a rational number or irrational number?
The square root of 16 is 4 which is a rational number
What is 4 square root of 10?
Answer: 4×4×4×4×4×4×4×4×4×4 =1048576 Answer: There is no "4 square root of 10". There is a square root (which number must I square - i.e., raise to the power 2 - to get 10?) and there is a 4th. root (which number must I raise to the 4th. power to get 10?).
What is the square root of negative -4?
The square root of -1 is the imaginary number i.So the square root of -4 = 2i
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 a square root of a negative number a real number?
no, it is an imaginary number represented by an i. For example, the square root of -4 is 2i.
What is an unreal number?
Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.
What kind of number is the square root of -16?
Square root of -1 is an imaginary number (√-1 = i), √-16 = √-1 * √16 √-16 = i * 4 √-16 = 4 i
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.
The square root of a negative value is called an imaginary or number?
Yes. The letter i denotes the value of the "positive square root" of -1. So i² = -1. But also (-i)² = -1 as well. Remember that for every number there is a "positive" and "negative" square root. So if you want the square root of -4, you can do this: -4 = (-1)(4). So sqrt(-4) = sqrt[(-1)(4)] = sqrt(-1)*sqrt(4) = i*2 or -i*2. We usually write these as 2i and -2i.
Why is the number i imaginary?
i is equalled to the square root of -1. The square root is a number which, multiplied by itself, will give a number (eg: 2 is the square root of 4 because 2x2=4) But negative numbers can't have square roots because any number multiplied by itself will be positive. So 'i' is imaginary. You use 'i' in calculus to figure out complex problems.
How do you find the square root of negative 24?
The square root of a negative number is not a real number. In mathematics, the square root of a negative number is represented as an imaginary number, denoted by "i". In this case, the square root of negative 24 would be √(-24) = 2i√6.
What is square root of minus 4?
It is imaginary; we denote sqrt of -1 = i square root (-4) = ± 2i
What is a number that is a square root of a negative number?
I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.
How to solve X squared plus 4 equals zero?
x2 + 4 = 0 then get the x on one side. x2 = -4 then find the square root of both which would cancel the square on the x. therefore the answer is: x = the square root of -4 = i squared root 4, which is a complex number ( imaginary number) since you cannot find the square root of oa negative number
