556. здесь на применение формулы разности квадратов --- a²-b²=(a-b)(a+b).
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556. здесь на применение формулы разности квадратов --- a²-b²=(a-b)(a+b).
а)![.....=\sqrt{(25-24)(25+24)} =\sqrt{1*49} =7 .....=\sqrt{(25-24)(25+24)} =\sqrt{1*49} =7](https://tex.z-dn.net/?f=.....%3D%5Csqrt%7B%2825-24%29%2825%2B24%29%7D%20%3D%5Csqrt%7B1%2A49%7D%20%3D7)
б)![....=\sqrt{(4,58+4,42)(4,58-4,42)} =\sqrt{9*0,16} =3*0,4=1,2 ....=\sqrt{(4,58+4,42)(4,58-4,42)} =\sqrt{9*0,16} =3*0,4=1,2](https://tex.z-dn.net/?f=....%3D%5Csqrt%7B%284%2C58%2B4%2C42%29%284%2C58-4%2C42%29%7D%20%3D%5Csqrt%7B9%2A0%2C16%7D%20%3D3%2A0%2C4%3D1%2C2)
в)![...=\sqrt{(221-220)(221+220)} =\sqrt{1*441}=21 ...=\sqrt{(221-220)(221+220)} =\sqrt{1*441}=21](https://tex.z-dn.net/?f=...%3D%5Csqrt%7B%28221-220%29%28221%2B220%29%7D%20%3D%5Csqrt%7B1%2A441%7D%3D21)
г)![...=\sqrt{(196,2-163,8)(196,2+163,8)} =\sqrt{32,4*360} =\sqrt{11664} =108 ...=\sqrt{(196,2-163,8)(196,2+163,8)} =\sqrt{32,4*360} =\sqrt{11664} =108](https://tex.z-dn.net/?f=...%3D%5Csqrt%7B%28196%2C2-163%2C8%29%28196%2C2%2B163%2C8%29%7D%20%3D%5Csqrt%7B32%2C4%2A360%7D%20%3D%5Csqrt%7B11664%7D%20%3D108)
д)![...=\sqrt{(313-312)(313+312)} =\sqrt{625} =25 ...=\sqrt{(313-312)(313+312)} =\sqrt{625} =25](https://tex.z-dn.net/?f=...%3D%5Csqrt%7B%28313-312%29%28313%2B312%29%7D%20%3D%5Csqrt%7B625%7D%20%3D25)
е)![...= - \frac{3}{10} \sqrt{\frac{(115-15)(115+15)}{130} } -\frac{1}{17} \sqrt{\frac{(273-16)(273+16)}{257} } = -\frac{3}{10} \sqrt{\frac{100*130}{130} } -\frac{1}{17} \sqrt{\frac{257*289}{257} } = \\ \\ -\frac{3}{10} *\sqrt{100} -\frac{1}{17} *\sqrt{289} =-\frac{3*10}{10} -\frac{17}{17} =-3-1=-4 ...= - \frac{3}{10} \sqrt{\frac{(115-15)(115+15)}{130} } -\frac{1}{17} \sqrt{\frac{(273-16)(273+16)}{257} } = -\frac{3}{10} \sqrt{\frac{100*130}{130} } -\frac{1}{17} \sqrt{\frac{257*289}{257} } = \\ \\ -\frac{3}{10} *\sqrt{100} -\frac{1}{17} *\sqrt{289} =-\frac{3*10}{10} -\frac{17}{17} =-3-1=-4](https://tex.z-dn.net/?f=...%3D%20-%20%5Cfrac%7B3%7D%7B10%7D%20%5Csqrt%7B%5Cfrac%7B%28115-15%29%28115%2B15%29%7D%7B130%7D%20%7D%20-%5Cfrac%7B1%7D%7B17%7D%20%5Csqrt%7B%5Cfrac%7B%28273-16%29%28273%2B16%29%7D%7B257%7D%20%7D%20%3D%20-%5Cfrac%7B3%7D%7B10%7D%20%5Csqrt%7B%5Cfrac%7B100%2A130%7D%7B130%7D%20%7D%20-%5Cfrac%7B1%7D%7B17%7D%20%5Csqrt%7B%5Cfrac%7B257%2A289%7D%7B257%7D%20%7D%20%3D%20%5C%5C%20%5C%5C%20-%5Cfrac%7B3%7D%7B10%7D%20%2A%5Csqrt%7B100%7D%20-%5Cfrac%7B1%7D%7B17%7D%20%2A%5Csqrt%7B289%7D%20%3D-%5Cfrac%7B3%2A10%7D%7B10%7D%20-%5Cfrac%7B17%7D%7B17%7D%20%3D-3-1%3D-4)