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Well, no you cannot have a negative radical as asimplified and final answer, BUT you may begin with a negative radical and simplify it from there.
First lets say you have the radical: x= √-25
First, you need to know how to solve this. So, the way to go about solving this is to learn something called an imaginary unit i. i is defined as
i = √-1. This unit will allow you to turn a negative radical into a positive one, therefore allowing you to solve it from there.
So, now you can go back and solve the original problem:
x= √-25
x= √-1(√-25)
x= i√25
Then, because you now have a positive radical, you may now simplify it just as any other normal radical although you must include the i in the final answer.
x= i√25
x= i√5(5) or i√-5(-5)
x= ±5ix= ±5i is the final and simplified answer. The plus or minus sign(±)is in front of 5i due to the fact that the radical was turned into a positive number. This means that either -5(-5)=25 or 5(5)=25. Therefore, you must use the plus or minus sign to indicate that it could be either.
By the way, i stands for imaginary.
And that is it! Please tell me if this information helped in some way and if you have any questions just ask!
What else can I help you with?
The expression radical 3x is equivalent to the expression x radical 3?
Radical (3x) = radical(x) * radical(3).
What is -3 radical 2 radical 50?
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30
How do you simplify the radical of 147?
Radical 147 simplified is 7 radical 3. radical147= radical 49* radical 3 the square root of 49 is 7 therefore the answer is 7 radical 3
What is the value of the expression radical 48 over radical 3?
radical(48)/radical(3) = radical(48/3) = radical(16) = 4 Technically, radical(16) is +4 OR -4 but in such questions often only the principal root is required.
What is the simplified expression for 2 radical 8?
2 radical(8) = 4 radical(2)
Why can't you factor negative radical numbers?
You cannot factor negative radical numbers because the square of a number must always be positive. A negative number multiplied by a negative number produces a positive number. So, it is impossible to have a negative radical.
How do you write the square root of negative numbers in imaginary form?
easy, lets take radical negative 3 for example. you can take out a "i" because i = the radical negative one. There fore the answer is i radical 3.
Can a radical be negative?
In mathematics, a radical typically refers to the root of a number, such as the square root. The value under a radical can be negative, but if we're talking about real numbers, the square root of a negative number is not defined in the real number system; instead, it results in an imaginary number. However, if you're considering other radicals, like cube roots, the radical itself can yield a negative result if the number under the radical is negative.
Is tin a positive radical or negative radical?
Tin ions are positive (cations).
What is the square root of negative 25 in radical form?
2i radical 5 * * * * * No. it is ± i*radical(25) which is ± 5i. Not sure why the answer is requireed in radical form.
How do you find negative square root of 49?
You don't. If the negative sign is outside the radical, then you take the square root of the number and apply the negative. If the negative sign is inside the radical, you will have an imaginary number.
Can you have a negative number in a radical?
maby.... maby not...
How do you simplify negative 125 under a radical without a calculator?
It depends what power is associated with the radical.
What is radical negative ten?
Radical negative ten refers to the square root of negative ten, often expressed as √(-10). In mathematics, this involves imaginary numbers, as the square root of a negative number cannot be represented on the real number line. It can be simplified to √10 * i, where "i" is the imaginary unit defined as √(-1). Thus, radical negative ten is expressed as approximately 3.16i.
What is the radical of negative 169?
(-169).5 = 13i
How is a radical equation similar to a linear equation?
Technically,no. A radical equation has a radical (Square root) in it, and has two solutions because the square root can be positive or negative.
What is the Charge of OH radical?
It has a negative one charge (1-)
