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№1.
![1) 6 sqrt{1 frac{7}{9} } -4=6 sqrt{ frac{16}{9} } -4=6* frac{4}{3} -4=2*4-4=8-4=4 1) 6 sqrt{1 frac{7}{9} } -4=6 sqrt{ frac{16}{9} } -4=6* frac{4}{3} -4=2*4-4=8-4=4](https://tex.z-dn.net/?f=1%29+6+sqrt%7B1+frac%7B7%7D%7B9%7D+%7D+-4%3D6+sqrt%7B+frac%7B16%7D%7B9%7D+%7D+-4%3D6%2A+frac%7B4%7D%7B3%7D+-4%3D2%2A4-4%3D8-4%3D4)
![2) sqrt{7,2} * sqrt{20} = sqrt{144}=12 2) sqrt{7,2} * sqrt{20} = sqrt{144}=12](https://tex.z-dn.net/?f=2%29++sqrt%7B7%2C2%7D+%2A+sqrt%7B20%7D+%3D+sqrt%7B144%7D%3D12+)
![3) frac{ sqrt{216} }{ sqrt{6} } = frac{6 sqrt{6} }{ sqrt{6 } } =6 3) frac{ sqrt{216} }{ sqrt{6} } = frac{6 sqrt{6} }{ sqrt{6 } } =6](https://tex.z-dn.net/?f=3%29++frac%7B+sqrt%7B216%7D+%7D%7B+sqrt%7B6%7D+%7D+%3D+frac%7B6+sqrt%7B6%7D+%7D%7B+sqrt%7B6+%7D+%7D+%3D6)
![4) sqrt{5^4*3^2} =5^2*3=25*3=75. 4) sqrt{5^4*3^2} =5^2*3=25*3=75.](https://tex.z-dn.net/?f=4%29++sqrt%7B5%5E4%2A3%5E2%7D+%3D5%5E2%2A3%3D25%2A3%3D75.)
№2.
![1) sqrt{20} - sqrt{125} =2 sqrt{5} -5 sqrt{5} =-3 sqrt{5} 1) sqrt{20} - sqrt{125} =2 sqrt{5} -5 sqrt{5} =-3 sqrt{5}](https://tex.z-dn.net/?f=1%29+sqrt%7B20%7D+-+sqrt%7B125%7D+%3D2+sqrt%7B5%7D+-5+sqrt%7B5%7D+%3D-3+sqrt%7B5%7D+)
![2) (3 sqrt{6} + sqrt{12} ) sqrt{3} =(3 sqrt{6} +2 sqrt{3} ) sqrt{3} =3 sqrt{18} +6=3*3 sqrt{2} +6= 2) (3 sqrt{6} + sqrt{12} ) sqrt{3} =(3 sqrt{6} +2 sqrt{3} ) sqrt{3} =3 sqrt{18} +6=3*3 sqrt{2} +6=](https://tex.z-dn.net/?f=2%29+%283+sqrt%7B6%7D+%2B+sqrt%7B12%7D+%29+sqrt%7B3%7D+%3D%283+sqrt%7B6%7D+%2B2+sqrt%7B3%7D+%29+sqrt%7B3%7D+%3D3+sqrt%7B18%7D+%2B6%3D3%2A3+sqrt%7B2%7D+%2B6%3D)
![9 sqrt{2} +6 9 sqrt{2} +6](https://tex.z-dn.net/?f=9+sqrt%7B2%7D+%2B6)
![3) (5- sqrt{2} )^2=25-10 sqrt{2} +2=27-10 sqrt{2} 3) (5- sqrt{2} )^2=25-10 sqrt{2} +2=27-10 sqrt{2}](https://tex.z-dn.net/?f=3%29+%285-+sqrt%7B2%7D+%29%5E2%3D25-10+sqrt%7B2%7D+%2B2%3D27-10+sqrt%7B2%7D+)
№2.
Ответ дал:
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спасибо
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