1 − 3 i 16 4 30 − 8 15 + 3 5 + 8 5 + 5 + 4 10 − 4 6 − 4 2 − ( 4 30 + 8 15 + 3 5 + 8 5 + 5 − 4 10 − 4 6 + 4 2 ) i 3 {\displaystyle {\frac {1-{\sqrt {3}}i}{16}}{\sqrt[{3}]{4{\sqrt {30}}-8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}+4{\sqrt {10}}-4{\sqrt {6}}-4{\sqrt {2}}-\left(4{\sqrt {30}}+8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}-4{\sqrt {10}}-4{\sqrt {6}}+4{\sqrt {2}}\right)i}}}
− [ 30 + 6 5 + 5 − 1 ] − [ 10 + 2 5 − 15 + 3 ] i 3 ) {\displaystyle -{\sqrt[{3}]{\left[{\sqrt {30+6{\sqrt {5}}}}+{\sqrt {5}}-1\right]-\left[{\sqrt {10+2{\sqrt {5}}}}-{\sqrt {15}}+{\sqrt {3}}\right]i}}{\Bigg )}}
( − 0.5 × x − 8 | x − 8 | + 0.5 × x − 10 | x − 10 | + 1 ) × ( ( 2 c o s ( 10000 x ) + ( − ( − 0.5 × x − 3 | x − 3 | + 0.5 × x − 7 | x − 7 | + 1 ) × ( − 0.5 × x − 8 | x − 8 | + 0.5 × x − 10 | x − 10 | + 1 ) × ( x − 1.2 ) 2 + 0.04 | − ( x − 1.2 ) 2 + 0.04 | − 3.2 ) × ( − 0.5 × ( x − 3 ) / a b s ( x − 3 ) + 0.5 × ( x − 7 ) / a b s ( x − 7 ) + 1 ) + ( − 0.5 × ( x − 1 ) / a b s ( x − 1 ) + 0.5 × ( x − 1.4 ) / a b s ( x − 1.4 ) + 1 ) × ( ( 1 − ( a b s ( x − 5 ) − 1 ) 2 × ( − 0.5 × ( x − 1 ) / a b s ( x − 1 ) + 0.5 × ( x − 1.4 ) / a b s ( x − 1.4 ) + 1 ) × ( − 0.5 × ( x − 8 ) / a b s ( x − 8 ) + 0.5 × ( x − 10 ) / a b s ( x − 10 ) + 1 ) ) 0 .5 × ( c o s ( 10000 x ) + 1 ) − 2.2 − a r c c o s ( 1 − a b s ( x − 5 ) × ( − 0.5 × ( x − 1 ) / a b s ( x − 1 ) + 0.5 × ( x − 1.4 ) / a b s ( x − 1.4 ) + 1 ) × ( − 0.5 × ( x − 8 ) / a b s ( x − 8 ) + 0.5 × ( x − 10 ) / a b s ( x − 10 ) + 1 ) ) × ( c o s ( 10000 x ) − 1 ) + p i × c o s ( 10000 x ) − p i ) / 2 ) ) − 4 × ( ( 1 + 0.1 × c o s ( 10000 x ) − ( x − 9 ) 2 ) × ( − 0.5 × ( x − 3 ) / a b s ( x − 3 ) + 0.5 × ( x − 7 ) / a b s ( x − 7 ) + 1 ) × ( − 0.5 × ( x − 1 ) / a b s ( x − 1 ) + 0.5 × ( x − 1.4 ) / a b s ( x − 1.4 ) + 1 ) ) 0 .5 + 4.2 {\displaystyle (-0.5\times {\frac {x-8}{|x-8|}}+0.5\times {\frac {x-10}{|x-10|}}+1)\times ((2cos(10000x)+({\sqrt {\frac {-(-0.5\times {\frac {x-3}{|x-3|}}+0.5\times {\frac {x-7}{|x-7|}}+1)\times (-0.5\times {\frac {x-8}{|x-8|}}+0.5\times {\frac {x-10}{|x-10|}}+1)\times (x-1.2)^{2}+0.04}{|-(x-1.2)^{2}+0.04|}}}-3.2)\times (-0.5\times (x-3)/abs(x-3)+0.5\times (x-7)/abs(x-7)+1)+(-0.5\times (x-1)/abs(x-1)+0.5\times (x-1.4)/abs(x-1.4)+1)\times ((1-(abs(x-5)-1)^{2}\times (-0.5\times (x-1)/abs(x-1)+0.5\times (x-1.4)/abs(x-1.4)+1)\times (-0.5\times (x-8)/abs(x-8)+0.5\times (x-10)/abs(x-10)+1))^{0}.5\times (cos(10000x)+1)-2.2-arccos(1-abs(x-5)\times (-0.5\times (x-1)/abs(x-1)+0.5\times (x-1.4)/abs(x-1.4)+1)\times (-0.5\times (x-8)/abs(x-8)+0.5\times (x-10)/abs(x-10)+1))\times (cos(10000x)-1)+pi\times cos(10000x)-pi)/2))-4\times ((1+0.1\times cos(10000x)-(x-9)^{2})\times (-0.5\times (x-3)/abs(x-3)+0.5\times (x-7)/abs(x-7)+1)\times (-0.5\times (x-1)/abs(x-1)+0.5\times (x-1.4)/abs(x-1.4)+1))^{0}.5+4.2}
1 a + 1 b = a 2 b + a b 2 a b {\displaystyle {\sqrt[{}]{{\frac {1}{a}}+{\frac {1}{b}}}}={\frac {\sqrt[{}]{a^{2}b+ab^{2}}}{ab}}} 3 2 x 1 2 − x 3 2 {\displaystyle 3{\sqrt {2}}x^{\frac {1}{2}}-x^{\frac {3}{2}}}
![{\displaystyle {\frac {1+{\sqrt {3}}i}{16}}{\sqrt[{3}]{4{\sqrt {30}}-8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}+4{\sqrt {10}}-4{\sqrt {6}}-4{\sqrt {2}}+\left(4{\sqrt {30}}+8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}-4{\sqrt {10}}-4{\sqrt {6}}+4{\sqrt {2}}\right)i}}+}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4770ecbea5046a03a9d9c677d5e76968dc21fe67)
![{\displaystyle {\frac {1-{\sqrt {3}}i}{16}}{\sqrt[{3}]{4{\sqrt {30}}-8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}+4{\sqrt {10}}-4{\sqrt {6}}-4{\sqrt {2}}-\left(4{\sqrt {30}}+8{\sqrt {15+3{\sqrt {5}}}}+8{\sqrt {5+{\sqrt {5}}}}-4{\sqrt {10}}-4{\sqrt {6}}+4{\sqrt {2}}\right)i}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/36c528db784d06bd39b38158572c4ae931517615)
![{\displaystyle -{\frac {i}{4}}{\Bigg (}{\sqrt[{3}]{\left[{\sqrt {10-2{\sqrt {5}}}}+{\sqrt {15}}+{\sqrt {3}}\right]+\left[{\sqrt {30-6{\sqrt {5}}}}-{\sqrt {5}}-1\right]i}}-{\sqrt[{3}]{\left[{\sqrt {10-2{\sqrt {5}}}}+{\sqrt {15}}+{\sqrt {3}})\right]-\left[{\sqrt {30-6{\sqrt {5}})}}-{\sqrt {5}}-1\right]i}}{\Bigg )}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/caa259a8bd81911cc7314170db2f8210b439272c)
![{\displaystyle {\tfrac {1}{16}}\left[(2-2{\sqrt {3}}){\sqrt {5+{\sqrt {5}}}}+{\sqrt {30}}+{\sqrt {10}}-{\sqrt {6}}-{\sqrt {2}})\right]\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c51ccb54066b067fb4f0b774e739f36e16ff48c0)
![{\displaystyle =-{\frac {i}{4}}{\Bigg (}{\sqrt[{3}]{\left[{\sqrt {30+6{\sqrt {5}}}}+{\sqrt {5}}-1\right]+\left[{\sqrt {10+2{\sqrt {5}}}}-{\sqrt {15}}+{\sqrt {3}})\right]i}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4b59072492cc72ca8303b75871aa8150a03f2d91)
![{\displaystyle -{\sqrt[{3}]{\left[{\sqrt {30+6{\sqrt {5}}}}+{\sqrt {5}}-1\right]-\left[{\sqrt {10+2{\sqrt {5}}}}-{\sqrt {15}}+{\sqrt {3}}\right]i}}{\Bigg )}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ea9540eacbcc7e1bac956709a6940abef30e4714)
![{\displaystyle -{\frac {i}{2}}({\sqrt[{3}]{2{\sqrt {6}}+2{\sqrt {2}}+(2{\sqrt {6}}-2{\sqrt {2}})i}}-{\sqrt[{3}]{(2{\sqrt {6}}+2{\sqrt {2}}-(2{\sqrt {6}}-2{\sqrt {2}})i}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8aca33bb55be7587dfa3bbc813a6ce37e2a90318)
![{\displaystyle {\tfrac {1}{8}}\left[{\sqrt {30-6{\sqrt {5}}}}-{\sqrt {5}}-1\right]\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6ee549494641a80b55297b4dce201accb35ac9d4)
![{\displaystyle -{\frac {i}{8}}({\sqrt[{3}]{(8{\sqrt {3}}-8){\sqrt {5-{\sqrt {5}}}}+4{\sqrt {2}}+4{\sqrt {6}}+4{\sqrt {10}}+4{\sqrt {30}})+[(8{\sqrt {3}}+8){\sqrt {5-{\sqrt {5}}}}-4{\sqrt {2}}+4{\sqrt {6}}-4{\sqrt {10}}+4{\sqrt {30}}]i}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b32826713261495db1024c17239dc500d5f8ede0)
![{\displaystyle -{\sqrt[{3}]{(8{\sqrt {3}}-8){\sqrt {5-{\sqrt {5}}}}+4{\sqrt {2}}+4{\sqrt {6}}+4{\sqrt {10}}+4{\sqrt {30}})-[(8{\sqrt {3}}+8){\sqrt {5-{\sqrt {5}}}}-4{\sqrt {2}}+4{\sqrt {6}}-4{\sqrt {10}}+4{\sqrt {30}}]i}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/161f8502da49d9d397b153845d89e64334baa2ec)
![{\displaystyle -{\frac {i}{4}}({\sqrt[{3}]{{\sqrt {30-6{\sqrt {5}}}}+{\sqrt {5}}+1+[{\sqrt {15}}+{\sqrt {3}}-{\sqrt {10-2{\sqrt {5}}}}]i}}-{\sqrt[{3}]{{\sqrt {30-6{\sqrt {5}}}}+{\sqrt {5}}+1-[{\sqrt {15}}+{\sqrt {3}}-{\sqrt {10-2{\sqrt {5}}}}]i}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/007bd96d22b3af4b899cff6bb1160891748892b2)
![{\displaystyle {\tfrac {1}{8}}\left[{\sqrt {10}}+{\sqrt {2}}-2{\sqrt {5-{\sqrt {5}}}}\right]\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/965c7a35c3bd76d8661dabb69d284b944c3fb13d)
![{\displaystyle -{\frac {i}{4}}({\sqrt[{3}]{4{\sqrt {3}}+4i}}-{\sqrt[{3}]{4{\sqrt {3}}-4i}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dd5a03558761d169840bce3c0c159b11cf25d5ce)
![{\displaystyle {\sqrt[{}]{{\frac {1}{a}}+{\frac {1}{b}}}}={\frac {\sqrt[{}]{a^{2}b+ab^{2}}}{ab}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f49926623f0d9a36e91089852bddfa0720e5a391)
