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Expression simplification/ Factorization polynomials/ x^4+2

Factor polynomial x^4+2

An expression to simplify:

The solution

You have entered [src] 
 4    
x  + 2
$$x^{4} + 2$$ 
x^4 + 2
Factorization [src] 
/     3/4      3/4\ /     3/4      3/4\ /       3/4      3/4\ /       3/4      3/4\
|    2      I*2   | |    2      I*2   | |      2      I*2   | |      2      I*2   |
|x + ---- + ------|*|x + ---- - ------|*|x + - ---- + ------|*|x + - ---- - ------|
\     2       2   / \     2       2   / \       2       2   / \       2       2   /
$$\left(x + \left(\frac{2^{\frac{3}{4}}}{2} - \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x + \left(\frac{2^{\frac{3}{4}}}{2} + \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x + \left(- \frac{2^{\frac{3}{4}}}{2} + \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x + \left(- \frac{2^{\frac{3}{4}}}{2} - \frac{2^{\frac{3}{4}} i}{2}\right)\right)$$ 
(((x + 2^(3/4)/2 + i*2^(3/4)/2)*(x + 2^(3/4)/2 - i*2^(3/4)/2))*(x - 2^(3/4)/2 + i*2^(3/4)/2))*(x - 2^(3/4)/2 - i*2^(3/4)/2)
Numerical answer [src] 
2.0 + x^4
2.0 + x^4
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