Usually four. As a simple example, the fourth roots of 1 are: 1, -1, i, -i.
The answer will depend on the form of the fourth root. Positive real numbers will have two fourth roots which are real and two that are complex. Complex numbers will have four complex roots. However, none of these can be "simplified" in the normal sense of the term.
Two of the four roots are 1.8212 and -1.8212 (approx). The other two roots are complex numbers.
There are 3 cube roots of 27. There are 2 square roots of 27 ( or any real number ). There are 4 fourth roots of 27 and so on:)
In general, the answer is 4, but only 2 of them are real. For example, the 4th roots of 16 are 2, -2, 2i, and -2i.
The principal fourth root of 1 is 1 itself. In general, the fourth roots of 1 are the complex numbers that satisfy the equation (x^4 = 1), which are (1), (i), (-1), and (-i). Among these, the principal root is defined as the non-negative value, which is 1.
The answer will depend on the form of the fourth root. Positive real numbers will have two fourth roots which are real and two that are complex. Complex numbers will have four complex roots. However, none of these can be "simplified" in the normal sense of the term.
Two of the four roots are 1.8212 and -1.8212 (approx). The other two roots are complex numbers.
There are no roots - fourth or otherwise - of 1 plus me!
The real fourth roots are -0.3 and 0.3
The four numbers are:3.0886,-3.0886,3.0886*i and-3.0886*iwhere i is the imaginary square root of -1.The first two roots are real numbers.
Four.Four.Four.Four.
There are 3 cube roots of 27. There are 2 square roots of 27 ( or any real number ). There are 4 fourth roots of 27 and so on:)
The rule you can use is that root(a) x root(b) = root(ab), or root(a) / root(b) = root(a/b). This rule works for real numbers, but if you ever have to handle complex numbers, it is no longer valid. In the case of real numbers, it also works with cubic roots, fourth roots, etc.
To any set that contains it! It belongs to {-3}, or {45, sqrt(2), -3, pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 3, or integers, or rational numbers, or real numbers, or complex numbers, or square roots of 9, of fourth roots of 81, etc.
4, the same as the degree of the polynomial.
Upto 4. If the coefficients are all real, then it can have only 0, 2 or 4 real roots.
To any set that contains it! It belongs to {-8}, or {-8, sqrt(2), pi, -3/7, 99.3}, or all whole numbers between -43 and 53, or multiples of 2, or integers, or rational numbers, or real numbers, or complex numbers, or square roots of 64 or fourth roots of 4096 etc.