а)√4⁸-√1,6⁴ =4₄-1,6²=256-2,56=253,44
б)√(-6,4)²·√(-5)²-(√32)² =6,54*5-32=0,7
в)√√(-7)²-(√3)² =√7-3=√4=2
г)(√90)²+√(-135)²·(√0,6)²=90+135*0,6=90+81=171
а)√1,8·√дробь 7/9·√дробь 5 целых 3/5 =
б)√дробь 1 целая 3/8·√дробь 5 целых 1/2-√дробь 12,5²-3,5²/2·128 =
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Answers & Comments
№1
а)√4⁸-√1,6⁴ =4₄-1,6²=256-2,56=253,44
б)√(-6,4)²·√(-5)²-(√32)² =6,54*5-32=0,7
в)√√(-7)²-(√3)² =√7-3=√4=2
г)(√90)²+√(-135)²·(√0,6)²=90+135*0,6=90+81=171
№2
а)√1,8·√дробь 7/9·√дробь 5 целых 3/5 =![\sqrt{1,8} *\sqrt{\frac{7}{9} } *\sqrt{\frac{28}{5} } =\sqrt{0,2*7*\frac{28}{5} } =\sqrt{\frac{39,2}{5} } =\sqrt{7,84} =2,8 \sqrt{1,8} *\sqrt{\frac{7}{9} } *\sqrt{\frac{28}{5} } =\sqrt{0,2*7*\frac{28}{5} } =\sqrt{\frac{39,2}{5} } =\sqrt{7,84} =2,8](https://tex.z-dn.net/?f=%5Csqrt%7B1%2C8%7D%20%2A%5Csqrt%7B%5Cfrac%7B7%7D%7B9%7D%20%7D%20%2A%5Csqrt%7B%5Cfrac%7B28%7D%7B5%7D%20%7D%20%3D%5Csqrt%7B0%2C2%2A7%2A%5Cfrac%7B28%7D%7B5%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B39%2C2%7D%7B5%7D%20%7D%20%3D%5Csqrt%7B7%2C84%7D%20%3D2%2C8)
б)√дробь 1 целая 3/8·√дробь 5 целых 1/2-√дробь 12,5²-3,5²/2·128 =![\sqrt{\frac{11}{8} } *\sqrt{\frac{11}{2} } -\sqrt{\frac{12,5^2-3,5^2}{2*128} } =\sqrt{\frac{121}{16} } -\sqrt{\frac{9}{16} } =\sqrt{\frac{7}{1}} \\=\sqrt{7} \sqrt{\frac{11}{8} } *\sqrt{\frac{11}{2} } -\sqrt{\frac{12,5^2-3,5^2}{2*128} } =\sqrt{\frac{121}{16} } -\sqrt{\frac{9}{16} } =\sqrt{\frac{7}{1}} \\=\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B11%7D%7B8%7D%20%7D%20%2A%5Csqrt%7B%5Cfrac%7B11%7D%7B2%7D%20%7D%20-%5Csqrt%7B%5Cfrac%7B12%2C5%5E2-3%2C5%5E2%7D%7B2%2A128%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B121%7D%7B16%7D%20%7D%20-%5Csqrt%7B%5Cfrac%7B9%7D%7B16%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B7%7D%7B1%7D%7D%20%5C%5C%3D%5Csqrt%7B7%7D)