[tex]3528~~ \vert 2\\1764~~\vert 2\\~~882~~\vert 2\\~~441~~\vert 3\\~~147~~\vert 3\\~~~49~~\vert 7\\~~~~7~~\vert 7\\~~~~1\\\\3528=2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7\\\\\sqrt{3528} =\sqrt{2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7} \\\\\sqrt{3528} =\sqrt{2\cdot 2^{2} \cdot 3^{2} \cdot 7^{2} }\\\\\sqrt{3528} =\sqrt{2^{2} } \cdot \sqrt{3^{2} } \cdot \sqrt{7^{2} } \cdot \sqrt{2} \\\\[/tex]
[tex]\sqrt{3528} =2^{2\cdot \frac{1}{2} } \cdot 3^{2\cdot \frac{1}{2} } \cdot 7^{2\cdot \frac{1}{2} } \cdot \sqrt{2} \\\\\sqrt{3528} = 2\cdot 3\cdot 7 \cdot \sqrt{2} \\\\\sqrt{3528} =42\sqrt{2}[/tex]
