A)
[tex]\frac{ \sqrt{10^{2} \times 2} - 7 }{5} = \frac{10 \sqrt{2} - 7 }{5} [/tex]
B)
[tex] \sqrt{ \frac{ \sqrt{120 \times 40} }{9} } = \sqrt{ \frac{ \sqrt{4800} }{9} } = \frac{ \sqrt[4]{4800} }{ \sqrt{9} } = \frac{2 \sqrt[4]{300} }{3} [/tex]
C)
[tex] \sqrt{ \sqrt{ \frac{10 - 5}{7} } } = \frac{ \sqrt[4]{5} }{ \sqrt[4]{7} } = \frac{ \sqrt[4]{1715} }{7} [/tex]
D)
[tex] \frac{ \sqrt{12000} - \sqrt{3528} }{4 \sqrt{12150} } = \frac{200 \sqrt{3} - 42 \sqrt{2} }{180 \sqrt{6} } = \frac{(100 \sqrt{3} - 21 \sqrt{2}) \sqrt{6} }{90 \sqrt{6 } \sqrt{6} } = \frac{50 \sqrt[ \: ]{2} - 7 \sqrt{3} }{90} [/tex]
