[tex] \sqrt{ {12}^{2} + {9}^{2} } = \sqrt{144 + 81} = \sqrt{225} = 15 [/tex]
[tex] \sqrt{ {15}^{2} - {9}^{2} + {16}^{2} } = \sqrt{225 - 81 + 256} = \sqrt{400} = 20[/tex]
[tex] \sqrt{ {15}^{2} + \sqrt{ {20}^{2} } } = \sqrt{225 + 400} = \sqrt{625} = 25[/tex]
[tex] \sqrt{ {30}^{2} } - \sqrt{ {24}^{2} } = \sqrt{900 - 576} = \sqrt{324 = 18} [/tex]
[tex] \sqrt{ {3}^{2} \times {5}^{2} + {2}^{6} } = \sqrt{9 \times 25 + 64} = \sqrt{289} = 17[/tex]
[tex] \sqrt{ {3}^{4} \times {13}^{2} - {3}^{4} \times {5}^{2} } = \sqrt{81 \times 169 - 81 \times 25} = \sqrt{340.200} = [/tex]
