Задача 72881 Можете поmочь пожалуйстA сделайте 10...

645e00056d339f07d323f91a

27.09.2023 16:44:52

Можете поmочь пожалуйстA сделайте 10 заданий

626fab9a354ab65fb2f43abb

27.09.2023 20:34:10

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1) [m]\frac{\sqrt{112}}{\sqrt{7}} = \frac{\sqrt{16 \cdot 7}}{\sqrt{7}} = \frac{\sqrt{16} \cdot \sqrt{7}}{\sqrt{7}} = \sqrt{16} = 4[/m]

2) [m]\frac{(3 \sqrt{2})^{3}}{4} = \frac{3^{3} (\sqrt{2})^{3}}{4} = \frac{27 \cdot 2 \sqrt{2}}{4} = \frac{27 \sqrt{2}}{2} = 13,5 \sqrt{2}[/m]

3) [m]\frac{(2 \sqrt{5})^{4}}{10} = \frac{2^{4} (\sqrt{5})^{4}}{10} = \frac{16 \cdot 25}{2 \cdot 5} = 8 \cdot 5 = 40[/m]

4) [m]\frac{24}{(4 \sqrt{6})^{2}} = \frac{24}{4^{2} (\sqrt{6})^{2}} = \frac{4 \cdot 6}{16 \cdot 6} = \frac{1}{4} = 0,25[/m]

5) [m]\frac{78}{(2 \sqrt{3})^{2}} = \frac{78}{2^{2} (\sqrt{3})^{2}} = \frac{13 \cdot 6}{4 \cdot 3} = \frac{13}{2} = 6,5[/m]

6) 2sqrt(19)*2sqrt(3)*sqrt(57) = 2*2*sqrt(19*3)*sqrt(57) = 4*57 = 228

7) 3sqrt(23)*2sqrt(3)*sqrt(69) = 3*2*sqrt(23*3)*sqrt(69) = 6*69 = 414

8) sqrt(48*60*8) = sqrt((16*3)*(4*3*5)*(4*2)) = 4*2*2*sqrt(3*3*5*2) = 16*3*sqrt(5*2) = 48sqrt(10)

9) sqrt(24*50*2) = sqrt((4*6)*100) = 2*10*sqrt(6) = 20sqrt(6)

10) sqrt(30*20)*sqrt(60) = sqrt(100*3*2)*sqrt(4*3*5) = 10sqrt(3*2)*2sqrt(3*5) = 20*3*sqrt(2*5) = 60sqrt(10)

11) sqrt(27*8)*sqrt(90) = sqrt((9*3)*(4*2))*sqrt(9*2*5) = 3*2*sqrt(3*2)*3*sqrt(2*5) = 18*2*sqrt(3*5) = 36sqrt(15)

12) sqrt(2^2*5^2*7^4) = 2*5*7^2 = 10*49 = 490