a, \(\sqrt{54}=\sqrt{9.6}=3\sqrt{6}\)

b, \(\sqrt{108}=\sqrt{36.3}=6\sqrt{3}\)

c, \(0,1\sqrt{20000}=0,1\sqrt{2.10000}=10\sqrt{2}\)

d, \(-0,05\sqrt{28800}=-0,05\sqrt{288.100}=-0,05.10.\sqrt{144.2}\)

\(=-0,5.12\sqrt{2}=-6\sqrt{2}\)

e, \(\sqrt{7.63.a^2}=\sqrt{7.7.9.a^2}=21\left|a\right|\)

a) $\sqrt{54}=\sqrt{9.6}=\sqrt{9}.\sqrt{6}=3\sqrt{6}$.

b) $\sqrt{108}=\sqrt{36.3}=\sqrt{36}.\sqrt{3}=6\sqrt{3}$.

c) $0,1\sqrt{20000}=0,1\sqrt{2.10000}=0,1\sqrt{2}.\sqrt{10000}$

$=0,1.100\sqrt{2}=10\sqrt{2}$.

d) $-0,05\sqrt{28800}=-0,05\sqrt{288.100}$

$=$

a) \(\sqrt{54}=\sqrt{9}.\sqrt{6}=3\sqrt{6}\)

b) \(\sqrt{108}=\sqrt{9}.\sqrt{4}.\sqrt{3}=6\sqrt{3}\)

c) \(0,1\sqrt{20000}=0,1.\sqrt{2}.\sqrt{10000}=0,1.100.\sqrt{2}=10\sqrt{2}\)

d) \(-0,05\sqrt{28800}=-0,05\sqrt{400}.\sqrt{9}.\sqrt[]{4}.\sqrt{2}=-0,05.20.3.2.\sqrt{2}=-6\sqrt{2}\)

e) \(\sqrt{7.63.a^2}=21\sqrt{a^2}\left\{{}\begin{matrix}=-21a\\=21a\end{matrix}\right.\)

\(-0,05\sqrt{28800}=\sqrt{\left(-6\right)^2\cdot2}=-6\sqrt{2}\)\(\sqrt{108}=\sqrt{6^2\cdot3}=6\sqrt{3}\)\(\sqrt{54}=\sqrt{3^2\cdot6}=3\sqrt{6} \)\(\sqrt{7\cdot63\cdot a^2}=\sqrt{441a^2}=21a\)
\(0,1\sqrt{20000}=\sqrt{10^2\cdot4}=10\sqrt{2}\)

a) \(3\sqrt{6}\)
b)\(6\sqrt{3}\)
c)10\(\sqrt{2}\)
d)-6\(\sqrt{2}\)
e)21a nếu a\(\ge\)0 hoặc -21a nếu a<0

\(a,\sqrt{54}=\sqrt{9.6}=\sqrt{9}.\sqrt{6}=3\sqrt{6}\)

b.\(\sqrt{108}=\sqrt{36.3}=\sqrt{36}.\sqrt{3}=6\sqrt{3}\)

c.\(0,1\sqrt{2000}=0,1\sqrt{2.10000}=0,1\sqrt{2}.\sqrt{10000}=0,1.100\sqrt{2}=10\sqrt{2}\)

d,\(-0,05\sqrt{28800}=-0,05.\sqrt{288.100}=-0,05.\sqrt{2}.\sqrt{144}.\sqrt{100}=-0,05.12.10\sqrt{2}=-6\sqrt{2}\)

e, \(\sqrt{7.63.a^2}=\sqrt{7.7.9.a^2}=\sqrt{7^2}.\sqrt{9}.\sqrt{a^2=}7.3.|a|=21|a|\)

Lời giải:

a, 3\(\sqrt{6}\)

b, 6\(\sqrt{3}\)

c,14,14                                                                                                                                            

d, \(6\sqrt{2}\)

a) \(\sqrt{54}=\sqrt{9\cdot6}=3\sqrt{6}\)

b)\(\sqrt{108}=\sqrt{36\cdot3}=6\sqrt{3}\)

c)\(0,1\sqrt{20000}=0,1\sqrt{2\cdot10000}=0,1\cdot100\sqrt{2}=10\sqrt{2}\)

d)\(-0,05\sqrt{28800}=-0.05\sqrt{144\cdot2\cdot10}=-0,05\cdot12\cdot10\sqrt{2}=-6\sqrt{2}\)

e)\(\sqrt{7\cdot63\cdot a^2}=\sqrt{7\cdot7\cdot9\cdot a^2}=7\cdot3\cdot\left|a\right|=21\cdot\left|a\right|\)

=\(\left[{}\begin{matrix}21a\Leftrightarrow a\ge0\\-21a\Leftrightarrow a< 0\end{matrix}\right.\)

a) \sqrt{54}=\sqrt{9.6}=\sqrt{9}.\sqrt{6}=3\sqrt{6}54​=9.6​=9​.6​=36​.

b) \sqrt{108}=\sqrt{36.3}=\sqrt{36}.\sqrt{3}=6\sqrt{3}108​=36.3​=36​.3​=63​.

c) 0,1\sqrt{20000}=0,1\sqrt{2.10000}=0,1 \sqrt{2}.\sqrt{10000}0,120000​=0,12.10000​=0,12​.10000​

=0,1.100\sqrt{2}=10\sqrt{2}=0,1.1002​=102​.

a 3 căn 6

b 6 căn 3

c 10 căn 2

d -6 căn 2

e 21a

\(a=\sqrt{54}=\sqrt{9.6}\)     \(b=\sqrt{108}=\sqrt{36.3}\)   \(c=0,1.\sqrt{20000}=0,1\sqrt{2.10000}0000=10\sqrt{2}\)                 

 a)\(\sqrt{54}\)= \(\sqrt{9.6}\)=\(\sqrt{9}\).\(\sqrt{6}\) =3\(\sqrt{6}\)                 b) \(\sqrt{108}\)=\(\sqrt{36.3}\)=\(\sqrt{36}\).\(\sqrt{3}\)=\(6\sqrt{3}\)                                                c) 0,1\(\sqrt{20000}\)=0,1\(\sqrt{2.10000}\) =0,1.\(\sqrt{2}\).\(\sqrt{10000}\)=0,1.100\(\sqrt{2}\)=10\(\sqrt{2}\)                                       d) -0,05\(\sqrt{28800}\)=-0,05 \(\sqrt{288.100}\)=-0,05\(\sqrt{2.144.100}\)

=-0,05.\(\sqrt{2}\) \(\sqrt{144}\) \(\sqrt{100}\) =-0,05.12.10\(\sqrt{2}\)=-6\(\sqrt{2}\)            e)\(\sqrt{7.63.a^2}\)=\(\sqrt{7.7.9.a^2}\)=\(\sqrt{7^2}\).\(\sqrt{9}\).\(\sqrt{a^2}\)=7-3\(\left|a\right|\)=21\(\left|a\right|\)=  _{\(\left[{}\begin{matrix}21a\\-21a\end{matrix}\right.nếua^{\ge0;a< 0}\)} 

a)\(\sqrt{54}=\sqrt{6.9}=3\sqrt{6}\)                                          b)\(\sqrt{108}=\sqrt{3.36}=3\sqrt{6}\)                                             c)   \(0,1\sqrt{2000}=0,1\sqrt{2.1000}=0,1\sqrt{2.100^2}=0,1.\sqrt{2}.100=10\sqrt{2}\)                                             d)-0,05\(\sqrt{28800}=-0,05\sqrt{288.100}=-0,05\sqrt{2.144.10^2}=-0,05.10.12\sqrt{2}=-6\sqrt{2}\)                        e) \(\sqrt{77.63.a^2}=\)                                   

a)\(\sqrt{54}=\sqrt{9.6}=3\sqrt{6}\)

b)\(\sqrt{108}=\sqrt{36.3}=\sqrt{6^2.3}=6\sqrt{3}\)

c)\(0,1\sqrt{20000}=0,1\sqrt{2.100^2}=10\sqrt{2}\)                                                             

d)\(-0,5\sqrt{28800}=-0,5\sqrt{2.144.10^2} =-0,5.12\sqrt{2}=-6\sqrt{2}\)

e)\(\sqrt{7.63.a^2}=\left|a\right|\sqrt{7.7.9}=\left|a\right|.\sqrt{\left(7.3\right)^2}=21\left|a\right|\)

a

\(a) 3\sqrt{6}\) 

\(b)6\sqrt{3}\)

\(c) 10\sqrt{2}\)

\(d)-6\sqrt{2}\)

\(e) 21a \) và \(-21a\)

a) $\sqrt{54}=\sqrt{9.6}=\sqrt{9}.\sqrt{6}=3\sqrt{6}$.

b) $\sqrt{108}=\sqrt{36.3}=\sqrt{36}.\sqrt{3}=6\sqrt{3}$.

c) $0,1\sqrt{20000}=0,1\sqrt{2.10000}=0,1\sqrt{2}.\sqrt{10000}$

$=0,1.100\sqrt{2}=10\sqrt{2}$.

d) $-0,05\sqrt{28800}=-0,05\sqrt{288.100}$

$=$

\(\sqrt{108}=\sqrt{9\cdot2\cdot2\cdot3}=\sqrt{9\cdot4\cdot3}=3\cdot2\sqrt{3}=6\sqrt{3}\)

a)\(\sqrt{54}\) = \(\sqrt{9.6}\) =\(\sqrt{3^2.6}\) = 3\(\sqrt{6}\)        b)\(\sqrt{108}\)= \(\sqrt{6^2.3}\) = 6\(\sqrt{3}\)                     c)-0,05\(\sqrt{28800}\) = -0,05 \(\sqrt{144.2.100}\) = -0,05.12.10.\(\sqrt{2}\) = -6\(\sqrt{2}\)               d) \(\sqrt{7.63.a^2}\) = \(\sqrt{7.7.9.a^2}\) = \(\sqrt{7^2.3^2.a^2}\)= 7.3.a = 21a

a)\(\sqrt{54}=\sqrt{6.9}=3\sqrt{6}\)

b)\(\sqrt{108}=\sqrt{36.3}=6\sqrt{3}\)

c)\(0,1\sqrt{20000}=0,1\sqrt{10000.2}=10\sqrt{2}\)

d)\(-0,05\sqrt{28800}=-0,05\sqrt{14400.2}=-6\sqrt{2}\)

e)\(\sqrt{7.63a^2}=\sqrt{7^2.9a^2}=|63a|\)