Property 4
\(\blacksquare\quad\sqrt[n]{a}\mp\sqrt[n]{b}\ne\sqrt[n]{a\mp b}\)
\(\blacksquare\quad a\sqrt[n]{k}+b\sqrt[n]{k}-c\sqrt[n]{k}=(a+b-c)\sqrt[n]{k}\)
1.
\(\sqrt8=?\)
2.
\(\sqrt{32}-\sqrt8=?\)
3.
\(\sqrt{24}+\sqrt6=?\)
4.
\(\sqrt{75}-\sqrt{12}+\sqrt{27}=?\)
5.
\(\sqrt{18}-\sqrt2+\sqrt{32}=?\)
6.
\(\sqrt[3]{16}+\sqrt[3]{54}=?\)
7.
\(\sqrt[3]{24}-\sqrt[3]{375}=?\)
8.
\(\sqrt[3]{32}-\sqrt[3]{500}=?\)
9.
\(\samefrac{\sqrt[3]{-16}+\sqrt[3]{54}}{\sqrt[3]2}=?\)
10.
\(\samefrac{\sqrt{20}-\sqrt5+\sqrt{125}}{\sqrt5}=?\)
11.
\(\samefrac{\sqrt{75}+\sqrt{48}-\sqrt{147}}{\sqrt3}=?\)
12.
\(\samefrac{\sqrt{32}+3\sqrt{18}}{\sqrt2}=?\)
13.
\(\samefrac{\sqrt[3]3-\sqrt[3]{24}}{\sqrt[3]{81}}=?\)
14.
\(\samefrac{\sqrt[5]{-32}+\sqrt[3]8-\sqrt[3]{81}}{\sqrt[3]3}=?\)
15.
\(\samefrac{\sqrt{72}-\sqrt2}{\sqrt8}=?\)