[eqn: root a = a^{1over2}`]이므로 다음과 같이 계산하면 됩니다.

[eqn: ~~~ LEFT ( {b} over {c} RIGHT ) ^{{1} over {2}} + LEFT ( {c} over {b} RIGHT ) ^{{3} over {2}}## =`` {b ^{{1} over {2}}} over {c ^{{1} over {2}}} ``+`` {c ^{{3} over {2}}} over {b ^{{3} over {2}}}## =`` {b ^{{1} over {2}} b ^{{3} over {2}} ``+``c ^{{1} over {2}} c ^{{3} over {2}}} over {c ^{{1} over {2}} b ^{{3} over {2}}}## =`` {b ^{2} +c ^{2}} over {c ^{{1} over {2}} b ^{{3} over {2}}}## =`` {b ^{2} +c ^{2}} over {c ^{{1} over {2}} b ^{{1} over {2}} b}## =`` {b ^{2} +c ^{2}} over {b sqrt {c} sqrt {b}}]