[tex]a)\ \ \sqrt{2}\cdot\sqrt{4\frac{1}{2}}=\sqrt{2\cdot4\frac{1}{2}}=\sqrt{\not2^1\cdot\frac{9}{\not2_{3}}}=\sqrt{9}=3\\\\b)\ \ \sqrt{2\frac{2}{3}}:\sqrt{\frac{2}{3}}=\sqrt{2\frac{2}{3}:\frac{2}{3}}=\sqrt{\frac{\not8^4}{\not3_{1}}\cdot\frac{\not3^1}{\not2_{1}}}=\sqrt{4}=2[/tex]
[tex]\sqrt{a}\cdot\sqrt{b}=\sqrt{a\cdot b}\ \ \ \ dla\ \ a,b\geq 0[/tex]
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[tex]a)\ \ \sqrt{2}\cdot\sqrt{4\frac{1}{2}}=\sqrt{2\cdot4\frac{1}{2}}=\sqrt{\not2^1\cdot\frac{9}{\not2_{3}}}=\sqrt{9}=3\\\\b)\ \ \sqrt{2\frac{2}{3}}:\sqrt{\frac{2}{3}}=\sqrt{2\frac{2}{3}:\frac{2}{3}}=\sqrt{\frac{\not8^4}{\not3_{1}}\cdot\frac{\not3^1}{\not2_{1}}}=\sqrt{4}=2[/tex]
[tex]\sqrt{a}\cdot\sqrt{b}=\sqrt{a\cdot b}\ \ \ \ dla\ \ a,b\geq 0[/tex]