1)
[tex] \sqrt{ {5}^{2} \times {7}^{2} \times {11}^{2} } = 5 \times 7 \times 11 = 385[/tex]
2)
[tex] \sqrt{ {2}^{8} \times {3}^{4} \times {13}^{2} } = {2}^{4} \times {3}^{2} \times 13 = 1872[/tex]
3)
[tex] \sqrt{ \frac{ {13}^{2} \times {7}^{2} }{ {15}^{2} } } = \frac{13 \times 7}{15} = \frac{91}{15} [/tex]
4)
[tex] \frac{ {5}^{2} + {12}^{2} }{ {25}^{2} - {15}^{2} } = \frac{25 + 144}{625 - 225} = \frac{169}{400} [/tex]
