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a) 9512<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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Zastabnawiamy się, kiedy: nan<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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a) 32<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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a) a<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z'/></svg>​+b<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z'/></svg>​=0 &nbsp; Warunek √a+√b=0 jest spełniony, gdy a=b=0. Stąd warunek √a+√b≠0 jest spełniony dla a≠0 lub b≠0. Ostatecznie otrzymujemy założenie: {a≥0b&gt;0​ &nbsp; lub &nbsp; {a&gt;0b≥0​ &nbsp; Usuwamy niewymierność z mianownika:

Zastabnawiamy się, kiedy: <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/3dec4a66fafc297cd4ffeea3d7c5fdf9fa1626a705eab6479da87968cf6c878f_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/3dec4a66fafc297cd4ffeea3d7c5fdf9fa1626a705eab6479da87968cf6c878f_big.svg" type="image/svg+xml"></object> &nbsp; &nbsp; Rozpatrzmy przypadki: - &nbsp;a&lt;0 i n jest liczba nieparzystą, np. <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/7e7ae7984b8009a4986c229efe48a3a2c35c7386c4ec1bd6acce39207ee0fb40_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/7e7ae7984b8009a4986c229efe48a3a2c35c7386c4ec1bd6acce39207ee0fb40_big.svg" type="image/svg+xml"></object>

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