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What is the opposite of a number squared?
Finding the square root of it. Taking the square root. Not squaring it.
What is the opposite of definite?
Opposites in language or nature display traits that have reverse appearances. For example, clockwise is the opposite rotational direction of counterclockwise, hairy is the opposite of hairless, and rough is the opposite of smooth.In mathematics, an additive opposite has the same absolute value but the opposite sign (positive or negative). The opposite of squaring a number is taking the square root. In each case, performing the opposite or inverse operation will restore the original value.
What is a set of rational numbers not closed under?
It is not closed under taking square (or other even) roots.
What is an inverse of a function?
The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.
Why is the square root of 2 times the square root of 2 two?
It is usually taken to be 2 because the taking the square root is considered to be the inverse of squaring - or multiplying by itself. However, sqrt(2) * sqrt(2) can be equal to -2 (instead of 2) if the two square roots are allowed to take opposite signs.
