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[tex]\bf 3600 = 2^{4}\cdot 3^{2}\cdot 5^{2}[/tex]
[tex]\bf \sqrt{3600} = \sqrt{2^{4}\cdot 3^{2}\cdot 5^{2}} = 2^{2}\cdot3 \cdot 5 = 60[/tex]
[tex]\bf 288 = 2^{5}\cdot 3^{2}[/tex]
[tex]\bf \sqrt{288} = \sqrt{2^{5}\cdot 3^{2}} = 2^{2}\cdot3 \cdot\sqrt{2} = 12\sqrt{2}[/tex]
[tex]\bf 1250 = 5^{4}\cdot 2[/tex]
[tex]\bf \sqrt{1250} = \sqrt{5^{4}\cdot 2} = 5^{2}\cdot\sqrt{2} = 25\sqrt{2}[/tex]
[tex]\bf 1125 = 3^{2}\cdot 5^{3}[/tex]
[tex]\bf \sqrt{1125} = \sqrt{3^{2}\cdot 5^{3}} = 3\cdot 5\sqrt{5} = 15\sqrt{5}[/tex]
[tex]\bf 432= 2^{4}\cdot 3^{3}[/tex]
[tex]\bf \sqrt{432} = \sqrt{2^{4}\cdot 3^{3}} = 2^{2}\cdot 3\sqrt{3} = 12\sqrt{3}[/tex]
[tex]\bf 8100 = 2^{2}\cdot 3^{4}\cdot 5^{2}[/tex]
[tex]\bf \sqrt{8100} = \sqrt{2^{2}\cdot 3^{4}\cdot 5^{2}} = 2\cdot3^{2} \cdot 5 = 90[/tex]
[tex]\bf 1764 = 2^{2}\cdot 3^{2}\cdot 7^{2}[/tex]
[tex]\bf \sqrt{1764} = \sqrt{2^{2}\cdot 3^{2}\cdot 7^{2}} = 2\cdot 3 \cdot 7 = 42[/tex]
