Решение задания 522

1. $$\sqrt{0.4^2} = |0.4| = 0.4$$
2. $$\sqrt{(-1.8)^2} = |-1.8| = 1.8$$
3. $$2\sqrt{(-15)^2} = 2 \cdot |-15| = 2 \cdot 15 = 30$$
4. $$3\sqrt{1.2^2} = 3 \cdot |1.2| = 3 \cdot 1.2 = 3.6$$
5. $$\sqrt{6^4} = \sqrt{(6^2)^2} = \sqrt{36^2} = |36| = 36$$
6. $$\sqrt{(-2)^{10}} = \sqrt{((-2)^5)^2} = \sqrt{(-32)^2} = |-32| = 32$$
7. $$5\sqrt{(-10)^4} = 5\sqrt{((-10)^2)^2} = 5 \sqrt{100^2} = 5 \cdot |100| = 5 \cdot 100 = 500$$
8. $$-4\sqrt{(-1)^{14}} = -4\sqrt{((-1)^7)^2} = -4\sqrt{(-1)^2} = -4 \cdot |-1| = -4 \cdot 1 = -4$$
9. $$-10\sqrt{3^6} = -10\sqrt{(3^3)^2} = -10 \sqrt{27^2} = -10 \cdot |27| = -10 \cdot 27 = -270$$