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When working with the square root of a numberwhen would you have only a positive and when will you have both?
Wiki User
∙ 8y ago
Every positive [real] number has two square roots: one positive and one negative. However, there are circumstances when a negative answer does not make sense. For example, according to Pythagoras's theorem, given triangle ABC, right angled at C, c^2 = a^2 + b^2 so that c = sqrt(a^2 + b^2).
Clearly, a^2 + b^2 has two square roots but a negative length does not make sense here and so only the positive root is used.
One topic where only the principal (positive) square roots are used is when dealing with surds.
Wiki User
∙ 8y ago
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What would be of the square root of a number if there is no sign in front of the square root symbol?
If unspecified, the square root is the principal root, which is the positive root.
What is the quotient of 2 integers with the same sign?
It would be a positive number. A negative number divided by a negative number would be positive. A positive number divided by a positive number would also be positive. So, the quotient of 2 integers with the same sign will be a positive number, regardless of which sign the two numbers had.
Is a negative a positive is what?
A Negative plus a positive = a negative because negative and a positive cannot work together Negative + Negative= Positive Positive + Positive = Positive when your dealing with numbers such as : -2 + 2 would equal a negative 4 -2 +-2 would equal a positive 4
If your spouse needs encouragement Would you give them Negative Entergy or Positive?
positive
What would 3 x - 4?
-1
What is the square of a negative number?
a positive square like if you have -2^2 it would be 4
What 2 numbers would be the square root of 53?
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
When working with the square root of a number when would you have only a positive answer and when would you have both a positive and negative answer?
Every positive number has two square roots . . . the same number with both signs.It's possible that you may not need both of them. In a Physics problem, for example,or in a motion problem (When do two trains meet ? etc.), or a math word problem,the negative one often makes no sense and you just ignore it. But as far as the mathalone is concerned, both of them are always there.
What would be of the square root of a number if there is no sign in front of the square root symbol?
If unspecified, the square root is the principal root, which is the positive root.
Why does the square root of -25 have no real solution?
Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.
Is there such thing as a positive square root?
yes, a positive square root is any positive number which is found as an answer when rooting a number.additional. The square root of any positive number will itself be positive.To complete the picture, the square root of a positive number is considered to be either positive or negative; for both answers would give a positive number when squared.The square root of a negative number is slightly more difficult, for that requires to find the square root of -1. Which is considered to be i. So i2 = -1.This concept is of quite important practical value in electrical engineering, but is not met with in ordinary life.
Every positive number has two square roots a principle square root and its?
The second root would be the negative of the principal root.
What is the value of chi square test positive or negative?
There must be some value otherwise nobody would do them. On that basis, the value must be positive.
What is the square root of 16x squared?
If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).
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.
What is the square root of 17?
4.1231056256176605498214098559741 is the square root of 17.
What number multiplied by itself is equal to 127.38?
That would be its square root, or 11.286..; it could be positive or negative
