Tính:
B = \(\text{√7-2√12 }\)
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\(B=\frac{270}{13}+\frac{21}{2}+\frac{100}{7}+\frac{1638}{25}\)
\(B=111,07\)
15.141+59.15=2115+885=3000
20-[30-(5-12)]=20-[30-(5-1)]=20-[30-4)]=20-26=.....chỗ này đề bài sai nha bn
b: \(=\dfrac{3}{7}\cdot\dfrac{5}{7}\cdot\dfrac{6}{7}=\dfrac{90}{343}\)
c: \(=\dfrac{4}{9}\cdot\dfrac{5}{9}\cdot\dfrac{3}{7}=\dfrac{20}{189}\)
d: \(=\dfrac{1}{3}\cdot\dfrac{5}{12}\cdot\dfrac{5}{12}=\dfrac{25}{432}\)
\(B=\frac{1-tana}{\frac{1}{sin^2a}}=\frac{1-tana}{1+cot^2a}=\frac{1-tana}{1+\frac{1}{tan^2a}}=\frac{1-\frac{7}{24}}{1+\left(\frac{7}{24}\right)^2}=...\)
b: \(\left(-99\right)+\left(-23\right)+\left(-201\right)+\left(-17\right)\)
\(=\left(-99-201\right)+\left(-23-17\right)\)
\(=-300-40=-340\)
c: \(\left(-105\right)-79-\left(-105\right)\)
\(=-105-79+105\)
\(=\left(105-105\right)-79\)
=0-79
=-79
d: \(\left(-230\right)-\left(-156\right)-\left(-230\right)\)
\(=-230+156+230\)
\(=\left(-230+230\right)+156\)
=0+156
=156
e: \(\left(-2021\right)+\left(-87\right)+2021+12\)
\(=\left(-2021+2021\right)+\left(-87+12\right)\)
=0+(-75)
=-75
\(B=1+7+7^2+7^3+...+7^{150}\)
\(7B=7.\left(1+7+7^2+7^3+...+7^{150}\right)\)
\(7B=7+7^2+7^3+7^4+...+7^{151}\)
\(7B-B=\left(7+7^2+7^3+7^4+...+7^{151}\right)-\left(1+7+7^2+7^3+...+7^{150}\right)\)
\(6B=\left(7^{151}-1\right)\)
\(B=\left(7^{151}-1\right):6\)
B = 1 + 7 + 72 + ...+ 7150
7.B = 7 + 72+.....+ 7150 + 7151
7B - B = 7151 - 1
6B = 7151 - 1
B = \(\dfrac{7^{151}-1}{6}\)
\(B=\sqrt{7-2\sqrt{12}}\)
\(B=\sqrt{4-2.2.\sqrt{3}+3}\)
\(B=\sqrt{\left(2-\sqrt{3}\right)^2}\)
\(B=\left|2-\sqrt{3}\right|\)
\(B=2-\sqrt{3}\)