7 phần √3 - √2 - √147 - 2√18
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a,18 . 76 + 24 . 18 - 150 = 18 . ( 76 + 24 ) - 150= 18 . 100 - 150 = 1800 - 150=1650
b, 147 + 230 + 53 + 70 = ( 147 + 53 ) + ( 230 + 70) = 200 + 300=500
c, 7 . 85 + 27 . 7 - 7 . 12=(85 + 27 -12 ) . 7=100 . 7=700
Dấu . là phép nhân
1) 18 . 76 + 24 . 18 -150
= 18( 76 + 24 ) - 150
= 18 . 100 -150
= 1800 - 150
= 1650
2) 147+230 +53 + 70
= ( 147 + 53 ) + ( 230 + 70 )
= 200 + 200
= 400
3) 7 × 85 + 27 × 7 - 7 ×12
= 7( 85 + 27 - 12 )
= 7 . 100
= 700
\(=\frac{7}{\sqrt{3}-\sqrt{2}}-7\sqrt{3}-6\sqrt{2}=\frac{7-\left(7\sqrt{3}+6\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)}{\sqrt{3}-\sqrt{2}}\)
\(=\frac{7-21+7\sqrt{6}-6\sqrt{6}+12}{\sqrt{3}-\sqrt{2}}=\frac{-2+\sqrt{6}}{\sqrt{3}-\sqrt{2}}=\frac{\sqrt{2}\left(\sqrt{3}-\sqrt{2}\right)}{\sqrt{3}-\sqrt{2}}=\sqrt{2}\)
2S=32+33+34+....+32016
2S-S=(32+33+34+...+32016)-(3+32+33+....+32015)
S=22016-3
\(a,=\sqrt{17}-4-\sqrt{17}-2=-6\\ b,=7\left(\sqrt{3}+\sqrt{2}\right)-7\sqrt{3}-6\sqrt{2}\\ =7\sqrt{3}+7\sqrt{2}-7\sqrt{3}-6\sqrt{2}=\sqrt{2}\\ c,=\dfrac{6\sqrt{5}+12-6\sqrt{5}+12}{3}+2\sqrt{2}-\dfrac{4\sqrt{7}}{7}\\ =8+2\sqrt{2}-\dfrac{4\sqrt{7}}{7}=\dfrac{56+14\sqrt{2}-4\sqrt{7}}{7}\\ d,=\left(\dfrac{\sqrt{2}}{4}-\dfrac{6\sqrt{2}}{4}+8\sqrt{2}\right):\dfrac{1}{8}=\dfrac{-5\sqrt{2}+32\sqrt{2}}{4}\cdot8=54\sqrt{2}\)
\(a,\dfrac{6}{5}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{6}{5}\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\\ \Rightarrow x=-21:\dfrac{3}{4}\\ \Rightarrow x=-28\\ c,\dfrac{2}{-7}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{2}{-7}\\ \Rightarrow x=-63\\ d,\dfrac{-5}{2}=\dfrac{10}{-x}\\ \Rightarrow x=-10:\dfrac{-5}{2}\\ \Rightarrow x=4\)
\(a,\dfrac{6}{5}=\dfrac{18}{x}\Rightarrow6.x=5.18=90\\ \Rightarrow6.x=90\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\Rightarrow3.x=4.21=84\\ \Rightarrow x=28\)