Помоги мне решить номера 4.54, 4.57, 4.62, 4.66

Конечно, сейчас помогу! 4.54 a) $\sqrt{121 \cdot 64} = \sqrt{121} \cdot \sqrt{64} = 11 \cdot 8 = 88$ б) $\sqrt{169 \cdot 0{,}36} = \sqrt{169} \cdot \sqrt{0{,}36} = 13 \cdot 0{,}6 = 7{,}8$ в) $\sqrt{16 \cdot 0{,}25} = \sqrt{16} \cdot \sqrt{0{,}25} = 4 \cdot 0{,}5 = 2$ г) $\sqrt{1{,}44 \cdot 0{,}04 \cdot 0{,}0001} = \sqrt{1{,}44} \cdot \sqrt{0{,}04} \cdot \sqrt{0{,}0001} = 1{,}2 \cdot 0{,}2 \cdot 0{,}01 = 0{,}0024$ 4.57 a) $\sqrt{2b \cdot 3a \cdot 8a \cdot 12b} = \sqrt{2 \cdot 3 \cdot 8 \cdot 12 \cdot a \cdot a \cdot b \cdot b} = \sqrt{576a^2b^2} = 24ab$ б) $\sqrt{12a \cdot 15b \cdot 35a \cdot 28b} = \sqrt{12 \cdot 15 \cdot 35 \cdot 28 \cdot a \cdot a \cdot b \cdot b} = \sqrt{176400a^2b^2} = 420ab$ в) $\sqrt{30a^7 \cdot 45b^3 \cdot 75b^5 \cdot 98a^3} = \sqrt{30 \cdot 45 \cdot 75 \cdot 98 \cdot a^7 \cdot a^3 \cdot b^3 \cdot b^5} = \sqrt{9922500a^{10}b^8} = 3150a^5b^4$ г) $\sqrt{12a^{17} \cdot 21b^3 \cdot 24b^5 \cdot 42a^3} = \sqrt{12 \cdot 21 \cdot 24 \cdot 42 \cdot a^{17} \cdot a^3 \cdot b^3 \cdot b^5} = \sqrt{254016a^{20}b^8} = 504a^{10}b^4$ 4.62 a) $\sqrt{\frac{81 \cdot 25}{16}} = \frac{\sqrt{81 \cdot 25}}{\sqrt{16}} = \frac{\sqrt{81} \cdot \sqrt{25}}{\sqrt{16}} = \frac{9 \cdot 5}{4} = \frac{45}{4} = 11{,}25$ б) $\sqrt{\frac{36}{49 \cdot 121}} = \frac{\sqrt{36}}{\sqrt{49 \cdot 121}} = \frac{\sqrt{36}}{\sqrt{49} \cdot \sqrt{121}} = \frac{6}{7 \cdot 11} = \frac{6}{77}$ в) $\sqrt{\frac{9 \cdot 16}{25 \cdot 49}} = \frac{\sqrt{9 \cdot 16}}{\sqrt{25 \cdot 49}} = \frac{\sqrt{9} \cdot \sqrt{16}}{\sqrt{25} \cdot \sqrt{49}} = \frac{3 \cdot 4}{5 \cdot 7} = \frac{12}{35}$ г) $\sqrt{\frac{121 \cdot 256}{25 \cdot 100}} = \frac{\sqrt{121 \cdot 256}}{\sqrt{25 \cdot 100}} = \frac{\sqrt{121} \cdot \sqrt{256}}{\sqrt{25} \cdot \sqrt{100}} = \frac{11 \cdot 16}{5 \cdot 10} = \frac{176}{50} = 3{,}52$ 4.66 a) $\sqrt{\frac{a}{9}} = \frac{\sqrt{a}}{\sqrt{9}} = \frac{\sqrt{a}}{3}$ б) $\sqrt{\frac{a^2b}{c^4}} = \frac{\sqrt{a^2b}}{\sqrt{c^4}} = \frac{\sqrt{a^2} \cdot \sqrt{b}}{\sqrt{c^4}} = \frac{a \sqrt{b}}{c^2}$ в) $\sqrt{\frac{16a^8b}{c^6}} = \frac{\sqrt{16a^8b}}{\sqrt{c^6}} = \frac{\sqrt{16} \cdot \sqrt{a^8} \cdot \sqrt{b}}{\sqrt{c^6}} = \frac{4a^4 \sqrt{b}}{c^3}$ г) $\sqrt{\frac{50a^3c^3}{81b^5}} = \frac{\sqrt{50a^3c^3}}{\sqrt{81b^5}} = \frac{\sqrt{25 \cdot 2 \cdot a^2 \cdot a \cdot c^2 \cdot c}}{\sqrt{81 \cdot b^4 \cdot b}} = \frac{\sqrt{25} \cdot \sqrt{a^2} \cdot \sqrt{c^2} \cdot \sqrt{2ac}}{\sqrt{81} \cdot \sqrt{b^4} \cdot \sqrt{b}} = \frac{5ac \sqrt{2ac}}{9b^2 \sqrt{b}}$