Rút gọn biểu thức: 28 - 12 - 7 7 + 2 21
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\(\text{a)}\)\(\left(5\sqrt{2}+2\sqrt{5}\right)\sqrt{5}-\sqrt{250}\)
\(\Leftrightarrow5\sqrt{10}+10-\sqrt{250}\)
\(\Leftrightarrow5\sqrt{10}+10-5\sqrt{10}\)
\(\Leftrightarrow10\)
\(\text{b)}\)\(\left(\sqrt{28}-\sqrt{12}-\sqrt{7}\right)\sqrt{7}+2\sqrt{21}\)
\(\Leftrightarrow4\sqrt{21}-2\sqrt{21}-7+2\sqrt{21}\)
\(\Leftrightarrow4\sqrt{21}-7\)
A= 7 1 x 21 3 x 12 2 / 14 2 x 28 4 x 6 1
A= 1 x 3 x 2 / 2 x 4 x 1
A= 6/8
A= 3/4
\(\frac{2^7.91-2^6.20}{3^3.12+3^4.28}=\frac{2^6.2.91-2^6.20}{3^3.12+3^3.3.28}=\frac{2^6.189-2^6.20}{3^3.12+3^3.84}=\frac{2^6.\left(189-20\right)}{3^3.\left(12+84\right)}=\frac{2^6.169}{3^3.96}\)
`a, (sqrt 28 - sqrt 12 - sqrt 7) sqrt 7 + 2 sqrt 21`.
`= sqrt(28.7) - sqrt(12.7) - sqrt(7.7) + 2 sqrt 21`.
`= sqrt(4. 7.7) - sqrt (12.7) - 7 + 2 sqrt 21`.
`= 14 - sqrt(4.3.7) - 7 + 2 sqrt 21`.
`= 7`.
`b, (sqrt99-sqrt18-sqrt11)sqrt11+3sqrt22`
`= sqrt(99.11)- sqrt(18.11)-sqrt(11.11) +3sqrt22`
`= sqrt(9.11.11)-sqrt(2.9.11)-11+3sqrt22`
`= 33 - 11 = 22`.
\(\frac{9}{12}+\frac{4}{7}\)
\(=\frac{3}{4}+\frac{4}{7}\)
\(=\frac{37}{28}\)
\(\frac{5}{10}+\frac{21}{28}\)
\(=\frac{1}{2}+\frac{3}{4}\)
\(=\frac{5}{4}\)
\(\frac{7}{9}+\frac{15}{27}\)
\(=\frac{7}{9}+\frac{5}{9}\)
\(=\frac{12}{9}\)
Bài giải
Ta có: \(\frac{49+\left(-49\right).\left(-2\right)}{7.21}\)
= \(\frac{49.1+49.2}{7.21}\)
= \(\frac{49.\left(1+2\right)}{7.21}\)
= \(\frac{49.3}{7.21}\)
= \(\frac{7.7.3}{7.7.3}\)
= \(1\)