Rezolvare :
[tex] \sqrt{567} = \sqrt{ {9}^{2} \times 7 } = \sqrt{ {9}^{2} } \times \sqrt{7} = 9 \sqrt{7} [/tex]
[tex] \sqrt{363} = \sqrt{11 {}^{2} \times 3} = \sqrt{11 {}^{2} } \times \sqrt{3} = 11 \sqrt{3} [/tex]
[tex] \sqrt{360} = \sqrt{6 {}^{2} \times 10} = \sqrt{6 {}^{2} } \times \sqrt{10} = 6 \sqrt{10} [/tex]
[tex] \sqrt{294} = \sqrt{ {7}^{2} \times 6} = \sqrt{ {7}^{2} } \times \sqrt{6} = 7 \sqrt{6} [/tex]
[tex] \sqrt{540} = \sqrt{6 {}^{2} \times 15 } = \sqrt{6 {}^{2} } \times \sqrt{15} = 6 \sqrt{15} [/tex]
[tex] \sqrt{288} = \sqrt{ {12}^{2} \times 2} = \sqrt{12 {}^{2} } \times \sqrt{2} = 12 \sqrt{2} [/tex]
[tex] \sqrt{388} = \sqrt{2 {}^{2} \times 97} = \sqrt{2 {}^{2} } \times \sqrt{97} = 2 \sqrt{97} [/tex]
[tex] \sqrt{432} = \sqrt{12 {}^{2} \times 3 } = \sqrt{12 {}^{2} } \times \sqrt{3} = 12 \sqrt{3} [/tex]
[tex] \sqrt{507} = \sqrt{13 {}^{2} \times 3 } = \sqrt{13 {}^{2} } \times \sqrt{3} = 13 \sqrt{3} [/tex]
[tex] \sqrt{810} = \sqrt{ {9}^{2} \times 10 } = \sqrt{ {9}^{2} } \times \sqrt{10} = 9 \sqrt{10} [/tex]
[tex] \sqrt{588} = \sqrt{14 {}^{2} \times 3} = \sqrt{ {14}^{2} } \times \sqrt{3} = 14 \sqrt{3} [/tex]
[tex] \sqrt{980} = \sqrt{ {14}^{2} \times 5} = \sqrt{ {14}^{2} } \times \sqrt{5} = 14 \sqrt{5} [/tex]
[tex] \sqrt{175} = \sqrt{ {5}^{2} \times 7 } = \sqrt{5 {}^{2} } \times \sqrt{7} = 5 \sqrt{7} [/tex]
[tex] \sqrt{112} = \sqrt{4 {}^{2} \times 7} = \sqrt{ {4}^{2} } \times \sqrt{7} = 4 \sqrt{7} [/tex]
[tex] \sqrt{450} = \sqrt{15 {}^{2} \times 2} = \sqrt{15 {}^{2} } \times \sqrt{2} = 15 \sqrt{2} [/tex]
[tex] \sqrt{758} = \sqrt{ {16}^{2} \times 3} = \sqrt{16 {}^{2} } \times \sqrt{3} = 16 \sqrt{3} [/tex]
