f) [tex]\sqrt{11^{2} * 17^{2} } = \sqrt{121* 289} = \sqrt{121} * \sqrt{289} = 11 *17 = 187\\[/tex]
g) [tex]\sqrt{5^1^0 * 2^1^0} = 5^5 * 2^5 = 10^5[/tex]
h) [tex]\sqrt{2^4 *3^2 * 5^4} = 2^2 *3 * 5^2 = 4 * 3 * 25 = 12 * 25 = 300[/tex]
i) [tex]\sqrt{6*10*15} = \sqrt{60*15} = \sqrt{900} = 30[/tex]
j) [tex]\sqrt{21*33*77} = \sqrt{53361} = 231[/tex]
k) [tex]\sqrt{2^3 * 3^5 * 6}= \sqrt{8 * 3^5 * 6} = \sqrt{48 * 3^5} = \sqrt{48*243} =\sqrt{11664} = 108[/tex]
l) [tex]\sqrt{14*2^5*7} = \sqrt{98 * 2^5} = \sqrt{98 * 32} = \sqrt{3136}= 56[/tex]