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make789456
@make789456
August 2022
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помогите решить подробно
554 и 555
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гюйс
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554,
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555.
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Answers & Comments
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554,
а)![....=\frac{\sqrt{25} }{\sqrt{49} }*\frac{\sqrt{0,36} }{\sqrt{0,81} } =\frac{5*0,6}{7*0,9} =\frac{1}{2,1} =\frac{10}{21} ....=\frac{\sqrt{25} }{\sqrt{49} }*\frac{\sqrt{0,36} }{\sqrt{0,81} } =\frac{5*0,6}{7*0,9} =\frac{1}{2,1} =\frac{10}{21}](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B25%7D%20%7D%7B%5Csqrt%7B49%7D%20%7D%2A%5Cfrac%7B%5Csqrt%7B0%2C36%7D%20%7D%7B%5Csqrt%7B0%2C81%7D%20%7D%20%20%3D%5Cfrac%7B5%2A0%2C6%7D%7B7%2A0%2C9%7D%20%3D%5Cfrac%7B1%7D%7B2%2C1%7D%20%3D%5Cfrac%7B10%7D%7B21%7D)
б)![......=\frac{0.1*6}{8*0.9}=\frac{6}{8*9} =\frac{1}{12} ......=\frac{0.1*6}{8*0.9}=\frac{6}{8*9} =\frac{1}{12}](https://tex.z-dn.net/?f=......%3D%5Cfrac%7B0.1%2A6%7D%7B8%2A0.9%7D%3D%5Cfrac%7B6%7D%7B8%2A9%7D%20%3D%5Cfrac%7B1%7D%7B12%7D)
в)![.....=\frac{0,1*9*0,02}{0,01*0,9*0,5} =\frac{0,9*2}{0,9*0,5} =2:0.5=4 .....=\frac{0,1*9*0,02}{0,01*0,9*0,5} =\frac{0,9*2}{0,9*0,5} =2:0.5=4](https://tex.z-dn.net/?f=.....%3D%5Cfrac%7B0%2C1%2A9%2A0%2C02%7D%7B0%2C01%2A0%2C9%2A0%2C5%7D%20%3D%5Cfrac%7B0%2C9%2A2%7D%7B0%2C9%2A0%2C5%7D%20%3D2%3A0.5%3D4)
г)![......=(0,8*0,6*3)*(0,7*0,5*3)=1,512 ......=(0,8*0,6*3)*(0,7*0,5*3)=1,512](https://tex.z-dn.net/?f=......%3D%280%2C8%2A0%2C6%2A3%29%2A%280%2C7%2A0%2C5%2A3%29%3D1%2C512)
555.
а)![....=\frac{\sqrt{4*7} }{\sqrt{9*3} } =\frac{2\sqrt{7} }{3\sqrt{3} } ....=\frac{\sqrt{4*7} }{\sqrt{9*3} } =\frac{2\sqrt{7} }{3\sqrt{3} }](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B4%2A7%7D%20%7D%7B%5Csqrt%7B9%2A3%7D%20%7D%20%3D%5Cfrac%7B2%5Csqrt%7B7%7D%20%7D%7B3%5Csqrt%7B3%7D%20%7D)
б)![....=\frac{\sqrt{4*65} }{\sqrt{400*65} }=\frac{2\sqrt{65} }{20\sqrt{65} } =\frac{1}{10}=0,1 ....=\frac{\sqrt{4*65} }{\sqrt{400*65} }=\frac{2\sqrt{65} }{20\sqrt{65} } =\frac{1}{10}=0,1](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B4%2A65%7D%20%7D%7B%5Csqrt%7B400%2A65%7D%20%7D%3D%5Cfrac%7B2%5Csqrt%7B65%7D%20%7D%7B20%5Csqrt%7B65%7D%20%7D%20%20%3D%5Cfrac%7B1%7D%7B10%7D%3D0%2C1)
в)![....=\frac{\sqrt{400*8} }{\sqrt{8} } =\frac{20\sqrt{8} }{\sqrt{8} } =20 ....=\frac{\sqrt{400*8} }{\sqrt{8} } =\frac{20\sqrt{8} }{\sqrt{8} } =20](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B400%2A8%7D%20%7D%7B%5Csqrt%7B8%7D%20%7D%20%3D%5Cfrac%7B20%5Csqrt%7B8%7D%20%7D%7B%5Csqrt%7B8%7D%20%7D%20%3D20)
г)![.....=\frac{\sqrt{3} }{\sqrt{3*0,001} } =\frac{1}{\sqrt{0,001} } .....=\frac{\sqrt{3} }{\sqrt{3*0,001} } =\frac{1}{\sqrt{0,001} }](https://tex.z-dn.net/?f=.....%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B3%2A0%2C001%7D%20%7D%20%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B0%2C001%7D%20%7D)
д)![....=\frac{\sqrt{24} }{\sqrt{24*100} } *\frac{\sqrt{222*400} }{\sqrt{222} }=\frac{\sqrt{4*100} }{\sqrt{100} } =4 ....=\frac{\sqrt{24} }{\sqrt{24*100} } *\frac{\sqrt{222*400} }{\sqrt{222} }=\frac{\sqrt{4*100} }{\sqrt{100} } =4](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B24%7D%20%7D%7B%5Csqrt%7B24%2A100%7D%20%7D%20%2A%5Cfrac%7B%5Csqrt%7B222%2A400%7D%20%7D%7B%5Csqrt%7B222%7D%20%7D%3D%5Cfrac%7B%5Csqrt%7B4%2A100%7D%20%7D%7B%5Csqrt%7B100%7D%20%7D%20%3D4)
е)![....=\frac{\sqrt{41*25} }{\sqrt{25*2*41*2} } =\frac{1}{\sqrt{4} } =\frac{1}{2} =0,5 ....=\frac{\sqrt{41*25} }{\sqrt{25*2*41*2} } =\frac{1}{\sqrt{4} } =\frac{1}{2} =0,5](https://tex.z-dn.net/?f=....%3D%5Cfrac%7B%5Csqrt%7B41%2A25%7D%20%7D%7B%5Csqrt%7B25%2A2%2A41%2A2%7D%20%7D%20%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B4%7D%20%7D%20%3D%5Cfrac%7B1%7D%7B2%7D%20%3D0%2C5)