Вычислите: 1) a) √(3,8)²; б) √(-1,3)²; в) √(0,4)²; г) √(-6,19)² 2) a) 3√(-17)²; б) 5√(4,2)²; в) 0,1√(-73)²; г) -0,4√22² 3) a) √10⁴; б) √5⁶; в) √3⁸; г) √2¹⁰ 4) a) √(-6)⁴; б) √(-3)⁸; в) √(-10)⁶; г) √(-3)¹⁰ 5) a) √(1,2)⁴; б) √(-0,2)⁶; в) √3⁴⋅6²; г) √2⁸⋅5²

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Accepted Answer

1. $$ \sqrt{(3.8)^2} = |3.8| = 3.8 $$
2. $$ \sqrt{(-1.3)^2} = |-1.3| = 1.3 $$
3. $$ \sqrt{(0.4)^2} = |0.4| = 0.4 $$
4. $$ \sqrt{(-6.19)^2} = |-6.19| = 6.19 $$
1. $$ 3\sqrt{(-17)^2} = 3 \cdot |-17| = 3 \cdot 17 = 51 $$
2. $$ 5\sqrt{(4.2)^2} = 5 \cdot |4.2| = 5 \cdot 4.2 = 21 $$
3. $$ 0.1\sqrt{(-73)^2} = 0.1 \cdot |-73| = 0.1 \cdot 73 = 7.3 $$
4. $$ -0.4\sqrt{22^2} = -0.4 \cdot |22| = -0.4 \cdot 22 = -8.8 $$
1. $$ \sqrt{10^4} = \sqrt{(10^2)^2} = |10^2| = 100 $$
2. $$ \sqrt{5^6} = \sqrt{(5^3)^2} = |5^3| = 125 $$
3. $$ \sqrt{3^8} = \sqrt{(3^4)^2} = |3^4| = 81 $$
4. $$ \sqrt{2^{10}} = \sqrt{(2^5)^2} = |2^5| = 32 $$
1. $$ \sqrt{(-6)^4} = \sqrt{((-6)^2)^2} = |(-6)^2| = 36 $$
2. $$ \sqrt{(-3)^8} = \sqrt{((-3)^4)^2} = |(-3)^4| = 81 $$
3. $$ \sqrt{(-10)^6} = \sqrt{((-10)^3)^2} = |(-10)^3| = 1000 $$
4. $$ \sqrt{(-3)^{10}} = \sqrt{((-3)^5)^2} = |(-3)^5| = 243 $$
1. $$ \sqrt{(1.2)^4} = \sqrt{((1.2)^2)^2} = |(1.2)^2| = 1.44 $$
2. $$ \sqrt{(-0.2)^6} = \sqrt{((-0.2)^3)^2} = |(-0.2)^3| = 0.008 $$
3. $$ \sqrt{3^4 \cdot 6^2} = \sqrt{81 \cdot 36} = \sqrt{2916} = 54 $$
4. $$ \sqrt{2^8 \cdot 5^2} = \sqrt{256 \cdot 25} = \sqrt{6400} = 80 $$