The reciprocal is well defined and is 1/√3. For example, three squared is nine (3 2 = 9), so the square root of nine is three. 3 squared is 9, so a square root of 9 is 3. Squaring, which we learned about in a previous lesson ( exponents ), has an inverse too, called "finding the square root." "Opposite" is a term lacking adequate mathematical definition. The square root of a number answers the question "what number can I multiply by itself to get this number?". The “√” symbol tells you to take the square root of a number, and you can find this on most calculators. You can think of it as the "root" of the square or the number that was used to make the square. Finding the root of a number has a special notation called the radical symbol: √. Square Root. The opposite of the adjective square would be "not square." To differentiate the square root of x using the power rule, rewrite the square root as an exponent, or raise x to the power of 1/2. In symbols, this is √9 = 3. A square is the result of multiplying a number with itself. A square root goes the other direction:. When you first learned about squared numbers like 3 2, 5 2 and x 2, you probably learned about a squared number's inverse operation, the square root, too.That inverse relationship between squaring numbers and square roots is important, because in plain English it means that one operation undoes the effects of … In simple arithmatic, they might simply mean the negative of the number, so the answer would be - √3. http://mathispower4u.com. Reciprocal of n = 1/n In this case, a is 1/2, so a-1 would equal -1/2. As usual, in solving these equations, what we do to one side of an equation we must do to the other side as well. So if n^2=p, then I n I=I p^1/2 I. A positive number has two square roots, one positive, and one negative, which are opposite to each other. For example, -9 squared equals 81, but the square root of 81 can be 9 or -9. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Find the derivative with the power rule, which says that the inverse function of x is equal to 1/2 times x to the power of a-1, where a is the original exponent. Square roots are the opposite of “squaring” a number, or multiplying it by itself. What is a square root? It is the reverse of the exponentiation operation with an exponent of 2, so if r 2 = x, then we say that "r is the root of x". As to the opposite of A square, it is a negative square, or a square moving backwards through time. Possible antonyms could include circular, since a square has no curved sides and a circle has no straight sides. Many mathematical operations have an inverse, or opposite, operation. The square root is just the opposite of the square. "Squared" is often written as a little 2 like this: This says "4 Squared equals 16" (the little 2 means the number appears twice in multiplying, so 4×4=16). 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