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\(\sqrt{96}.\sqrt{125}\)
\(\sqrt{16.6}\sqrt{25.5}\)
\(4.5\sqrt{6.5}\)
\(20\sqrt{30}\)
\(b,\sqrt{a^4b^5}\)
\(a^2b^2\sqrt{b}\)
\(c,\sqrt{a^6b^{11}}\)
\(a^3b^5\sqrt{b}\)
\(d,\sqrt{a^3\left(1-a\right)^4}\)
\(a\left(1-a\right)^2\sqrt{a}\)
a: \(=\sqrt{2^5\cdot3\cdot5^3}=2^2\cdot5\cdot\sqrt{2\cdot3\cdot5}=20\sqrt{30}\)
b: \(=a^2b^2\sqrt{b}\)
a) \(\sqrt{\frac{9a^2-12ab+4b^2}{81a^4b^4}}=\sqrt{\frac{\left(3a-4b\right)^2}{\left(9a^2b^2\right)^2}}\)
\(=\frac{3a-4b}{9a^2b^2}\)
b)\(\sqrt{\frac{1}{a}-\frac{1}{a^2}}=\sqrt{\frac{a-1}{a^2}}=\frac{1}{a}\sqrt{a-1}\)
P/s tham khảo nhé
a: \(=\sqrt{4\cdot a^4b^2\cdot7}=2a^2b\sqrt{7}\left(b>=0\right)\)
b: \(=\sqrt{36\cdot b^4\cdot a^2\cdot2}=-6ab^2\sqrt{2}\)
a/ \(0,1\sqrt{2.10000=0,1\sqrt{ }2.100^{ }2=0,1\cdot100\sqrt{ }2=10\sqrt{ }2}\)
b/ \(-0,05\sqrt{28800}=-0,05\sqrt{288\cdot100=-0,05\cdot10\sqrt{ }288=6\sqrt{ }2}\)
c/\(\sqrt{7\cdot63}a^2=\sqrt{7\cdot9\cdot7}a^2=21a^2\)
\(\sqrt{72a^{ }2b\sqrt{ }4=\sqrt{ }6\cdot9\left|\right|ab^{ }2=-3\sqrt{ }6ab^{ }2}\)
a) \(\sqrt{27x^2}=\sqrt{3.\left(3x\right)^2}=\left|3x\right|.\sqrt{3}=3x\sqrt{3}\left(x>0\right)\)
b) \(\sqrt{8xy^2}=\left|y\right|.2\sqrt{2x}=-2y\sqrt{2x}\left(x\ge0,y\le0\right)\)
1) \(x\sqrt{13}=\sqrt{13x^2}\left(x\ge0\right)\)
2) \(x\sqrt{-15x}=-\left|x\right|\sqrt{15x}=-\sqrt{15x^3}\left(x< 0\right)\)
3) \(x\sqrt{2}=-\left|x\right|\sqrt{2}=-\sqrt{2x^2}\left(x\le0\right)\)
a/ \(\sqrt{a^4b^5}=a^2b^2\sqrt{b}\)
b/ \(\sqrt{a^6b^{11}}=a^3b^5\sqrt{b}\)