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Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
Is there a number that doesn't have a square root?
Any negative number, and infinity. However, a number (called "i") was created to represent the square roots of negative numbers.
How many square roots can a positive number have?
Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.
The square of any negative numbers is?
negative always
What is the square root of negative 72?
There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64
Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
What does a non-zero rational number mean?
any number (including fractions, square roots and Pi) that are not 0 and are not square roots of negative numbers.
Is there a number that doesn't have a square root?
Any negative number, and infinity. However, a number (called "i") was created to represent the square roots of negative numbers.
How many square roots can a positive number have?
Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.
What sets contains -4.5?
To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.
What two integers lie between the square root of negative 55?
The square roots of negative 55 are the imaginary numbers -7.4162*i and 7.4162*i where i is the square root of -1. There can be only one integer between any two imaginary numbers and that is 0.
The square of any negative numbers is?
negative always
What is the square root of negative 72?
There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64
How many square roots does a negative Number have?
This depends on whether you include imaginary numbers. The imaginary unit i is defined such that i² = -1. So the square root of -1 will be either i or -i. So the answer is there are 2 square roots for any number. Now if you are at a level of mathematics, which does not yet consider i, then the answer is you cannot take the square root of a negative.
What can be determined from roots of real numbers?
The short answer is "Nothing". In the complex domain, the number of nth roots of any real number is n. Every non-negative real number has 2 square roots. Every real number has 3 cube roots. Every non-negative real number has 2 real square roots and 2 imaginary ones. and so on. So what?
What is the kinds of numbers in algebra?
The following is a list of the sets of numbers in algebra. It is not comprehensive.Natural numbers (0, 1, 2, 3 ...)Integers = natural numbers and their negative counterparts.Rational numbers = numbers that can be expressed as ratios of two integers - the second being non-zero.Irrational numbers = real numbers that are not rational. Irrational numbers comprise "ordinary" irrational numbers and transcendental numbers. The first are real roots of algebraic equations with rational coefficients, the second, such as pi and e, are not.Imaginary numbers. The square of any real number is not negative. As a result, only non-negative numbers can have real square roots. Imaginary numbers are the square roots of negative real numbers.complex numbers. These are numbers which consist of a real part and an imaginary part.quaternions: an extension of complex numbers.There are also separate parts of algebra dealing with infinite and transfinite numbers.
Why are there two integer answers for square roots but only one integer answer for cubed roots?
When (if) you learn more advanced mathematics you will find that there are, in fact 3 cube roots for any non-zero number (in the complex field). In general, there are n nth roots (de Moivre's theorem). However, only one of the cube roots can be a real number, the other two are complex numbers. The reason is that the product of a pair of negative numbers is positive. As a result both x and -x are square roots of x^2. But the product of three negative numbers is itself negative, so for cube roots the signs match up.
