Предмет: Алгебра, автор: Аноним

помагите осо юроосбр гсюо ою ю юо юосюосою юо юомо ою​

Приложения:

Ответы

Автор ответа: bbbapho
1

1.96

1)  \sqrt{27}  =  \sqrt{9 \times 3}  =  \sqrt{9}  \times  \sqrt{3}  = 3 \sqrt{3}

2)  \sqrt{98}  =  \sqrt{49 \times 2}  =  \sqrt{49}  \times  \sqrt{2}  = 7 \sqrt{2}

3)  \sqrt{80}  =  \sqrt{16 \times 5}  =  \sqrt{16}  \times  \sqrt{5}  = 4 \sqrt{5}

4)  \sqrt{160}  =  \sqrt{16 \times 10}  =  \sqrt{16}  \times  \sqrt{10}  = 4 \sqrt{10}

5)  \sqrt{432}  =  \sqrt{144 \times 3}  =  \sqrt{144}  \times  \sqrt{3}  = 12 \sqrt{3}

6)  \sqrt{675}  =  \sqrt{225 \times 3}  =  \sqrt{225}  \times  \sqrt{3}  = 15 \sqrt{3}

7) 3 \sqrt{12}  = 3 \times  \sqrt{4 \times 3}  = 3 \times  \sqrt{4}  \times  \sqrt{3}  = 3 \times 2 \times  \sqrt{3}  = 6 \sqrt{3}

8) 2 \sqrt{18}  = 2 \times  \sqrt{9 \times 2}  = 2 \times  \sqrt{9}  \times  \sqrt{2}  = 2 \times 3 \times  \sqrt{2}  = 6 \sqrt{2}

9) 4 \sqrt{24}  = 4 \times  \sqrt{4 \times 6}  = 4 \times  \sqrt{4}  \times  \sqrt{6}  = 4 \times 2 \times  \sqrt{6}  = 8 \sqrt{6}

10) 7 \sqrt{75}  = 7 \times  \sqrt{25 \times 3}  = 7 \times  \sqrt{25}  \times  \sqrt{3}  = 7 \times 5 \times  \sqrt{3}  =  35\sqrt{3}

11)  \frac{3}{2}  \sqrt{200}  =  \frac{3}{2}  \times  \sqrt{100 \times 2}  =  \frac{3}{2}  \times  \sqrt{100}  \times  \sqrt{2}  =  \frac{3}{2}  \times 10 \times  \sqrt{2}  =  \frac{30}{2}  \times  \sqrt{2}  = 15 \sqrt{2}

12) 0.2 \sqrt{300}  = 0.2 \times  \sqrt{100 \times 3}  = 0.2 \times  \sqrt{100}  \times   \sqrt{3}  = 0.2 \times 10 \times  \sqrt{3}  = 2 \sqrt{3}

1.97

1) 2 \sqrt{3}  =  \sqrt{ {2}^{2}  \times 3}  =  \sqrt{4 \times 3}  =  \sqrt{12}

2) 5 \sqrt{2}  =  \sqrt{ {5}^{2} \times 2 }  =  \sqrt{25 \times 2}  =  \sqrt{50}

3) 3 \sqrt{5}  =  \sqrt{ {3}^{2} \times 5 }  =  \sqrt{9 \times 5}  =  \sqrt{45}

4) 4 \sqrt{7}  =  \sqrt{ {4}^{2} \times 7 }  =  \sqrt{16 \times 7}  =  \sqrt{112}

5)  \frac{1}{2}  \sqrt{8}  =  \sqrt{ {( \frac{1}{2} )}^{2}  \times 8}  =  \sqrt{ \frac{1}{4}  \times 8}  =  \sqrt{2}

6) 5 \sqrt{92}  =  \sqrt{ {5}^{2}  \times 92}  =  \sqrt{25 \times 92}  =  \sqrt{2300}

7)  \frac{2}{3}  \sqrt{18}  =  \sqrt{ {( \frac{2}{3} )}^{2} \times 18 }  =  \sqrt{ \frac{4}{9} \times 18 }  =  \sqrt{8}

8)  \frac{3}{4}  \sqrt{ \frac{32}{3} }  =  \sqrt{ {( \frac{3}{4} )}^{2}  \times  \frac{32}{3} }  =  \sqrt{ \frac{9}{16} \times  \frac{32}{3}  }  =  \sqrt{6}

9) 5 \sqrt{ \frac{13}{25} }  =  \sqrt{ {5}^{2} \times  \frac{13}{25}  }  =  \sqrt{25 \times  \frac{13}{25} }  =  \sqrt{13}

10) 0.5 \sqrt{60}  =  \sqrt{ {(0.5)}^{2} \times 60 }  =  \sqrt{0.25 \times 60}  =  \sqrt{15}

11) 0.3 \sqrt{200}  =  \sqrt{ {(0.3)}^{2} \times 200 }  =  \sqrt{0.09 \times 200}  =  \sqrt{18}

12) 10 \sqrt{0.07}  =  \sqrt{ {10}^{2} \times 0.07 }  =  \sqrt{100 \times 0.07}  =  \sqrt{7}

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