(√2-√3)^2+√24 rút gọn biểu thức
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1.
A= \(2\sqrt{6}\) + \(6\sqrt{6}\) - \(8\sqrt{6}\)
A= 0
2.
A= \(12\sqrt{3}\) + \(5\sqrt{3}\) - \(12\sqrt{3}\)
A= 0
3.
A= \(3\sqrt{2}\) - \(10\sqrt{2}\) + \(6\sqrt{2}\)
A= -\(\sqrt{2}\)
4.
A= \(3\sqrt{2}\) + \(4\sqrt{2}\) - \(\sqrt{2}\)
A= \(6\sqrt{2}\)
5.
M= \(2\sqrt{5}\) - \(3\sqrt{5}\) + \(\sqrt{5}\)
M= 0
6.
A= 5 - \(3\sqrt{5}\) + \(3\sqrt{5}\)
A= 5
This literally took me a while, pls sub :D
https://www.youtube.com/channel/UC4U1nfBvbS9y_Uu0UjsAyqA/featured
a) \(5\sqrt{48}-4\sqrt{27}-2\sqrt{57}+\sqrt{108}\)
\(=20\sqrt{3}-12\sqrt{3}-2\sqrt{57}+6\sqrt{3}\)
\(=\left(20-12+6\right)\sqrt{3}-2\sqrt{57}\)
\(=14\sqrt{3}-2\sqrt{57}\)
b) \(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)
\(=4\sqrt{6}-6\sqrt{6}+3\sqrt{6}-5\sqrt{6}\)
\(=\left(4-6+3-5\right)\sqrt{6}\)
\(=-4\sqrt{6}\)
Lời giải:
a.
$=2\sqrt{5}-9\sqrt{5}-2\sqrt{5}=(2-9-2)\sqrt{5}=-9\sqrt{5}$
b.
$=36\sqrt{6}-2\sqrt{6}+6\sqrt{6}=(36-2+6)\sqrt{6}=40\sqrt{6}$
\(\left(\sqrt{2}-3\right)^2+\sqrt{24}=\)\(\left(\sqrt{2}\right)^2-2.\sqrt{2}.\sqrt{3}+\left(\sqrt{3}\right)^2+\sqrt{24}\)
\(=2-2\sqrt{6}+3+\sqrt{24}\)
\(=5-2\sqrt{6}+\sqrt{4.6}\)
\(=5-2\sqrt{6}+\sqrt{4}.\sqrt{6}\)
\(=5-2\sqrt{6}+2\sqrt{6}\)
\(=5\)
Nhớ li ke mk nha !!!
\(\left(\sqrt{2}-\sqrt{3}\right)^2+\sqrt{24}=\left(\sqrt{2}\right)^2-2.\sqrt{2}.\sqrt{3}+\left(\sqrt{3}\right)^2+\sqrt{24}\)
\(=2-2.\sqrt{6}+3+\sqrt{24}\)
\(=5-2\sqrt{6}+\sqrt{4.6}\)
\(=5-2\sqrt{6}+\sqrt{4}.\sqrt{6}\)
\(=5-2\sqrt{6}+2\sqrt{6}\)
\(=5\)