a) \(\sqrt{16}+\sqrt{1}-3\sqrt{9}=4+1-3.3=-4\)

b) \(\sqrt{\dfrac{4}{9}}-\sqrt{25}+\sqrt{100}=\dfrac{2}{3}-5+10=\dfrac{17}{3}\)

c) \(2\sqrt{169}+3\sqrt{196}-2\sqrt{289}\)

= \(2.13+3.14-2.17=34\)

\(=4\cdot5+13:7=20+\dfrac{13}{7}=\dfrac{153}{7}\)

a: \(\sqrt{169}-\sqrt{225}\)

\(=\sqrt{13^2}-\sqrt{15^2}\)

=13-15

=-2

b: \(\dfrac{\sqrt{144}}{9}\)

\(=\dfrac{\sqrt{12^2}}{9}\)

\(=\dfrac{12}{9}=\dfrac{4}{3}\)

c: \(\sqrt{18}:\sqrt{2}=\sqrt{\dfrac{18}{2}}=\sqrt{9}=3\)

a)\(\sqrt{9.4}=\sqrt{36}=6;\sqrt{9}.\sqrt{4}=3.2=6\Rightarrow\sqrt{9.4}=\sqrt{9}.\sqrt{4}\)

b)\(\sqrt{169-144}=\sqrt{25}=5;\sqrt{169}-\sqrt{144}=13-12=1\Rightarrow\sqrt{169-144}>\sqrt{169}-\sqrt{144}\)

tra loi ho mik lun di mai ik hoc roi !chut chut chuit chut

a: \(=4\cdot5+14:7\)

=20+2

=22

Học dỏi nha :)) 
~ Good luck ~

\(\sqrt{\frac{289+4\sqrt{72}}{16}}+\sqrt{\frac{129}{16}+\sqrt{2}}\)

\(=\sqrt{\frac{288+2\times12\sqrt{2}+1}{4^2}}+\sqrt{\frac{128+2\sqrt{12}+1}{4^2}}\)

\(=\sqrt{\frac{\left(\sqrt{288}+1\right)^2}{4^2}}+\sqrt{\frac{\left(\sqrt{128}+1\right)^2}{4^2}}\)

\(=\frac{\sqrt{288}+1}{4}+\frac{\sqrt{128}+1}{4}\)

\(=\frac{12\sqrt{2}+8\sqrt{2}+2}{4}\)

\(=\frac{1+10\sqrt{2}}{2}\)

\(=36:18-13=2-13=-11\)

<=> 36 : \(\sqrt{324}-\sqrt{169}\)

<=> 36 : 18-13

<=> 2-13

=> -11

Bạn tự kết luận nhé !

\(e,\sqrt{\dfrac{9}{169}}=\dfrac{\sqrt{9}}{\sqrt{169}}=\dfrac{\sqrt{3^2}}{\sqrt{13^2}}=\dfrac{3}{13}\)

\(f,\sqrt{1\dfrac{9}{16}}=\sqrt{\dfrac{25}{16}}=\dfrac{\sqrt{25}}{\sqrt{16}}=\dfrac{\sqrt{5^2}}{\sqrt{4^2}}=\dfrac{5}{4}\)

\(g,\dfrac{\sqrt{2300}}{\sqrt{23}}=\sqrt{\dfrac{2300}{23}}=\sqrt{100}=\sqrt{10^2}=10\)

\(h,\dfrac{\sqrt{12,5}}{\sqrt{0,5}}=\sqrt{\dfrac{12,5}{0,5}}=\sqrt{25}=\sqrt{5^2}=5\)

e, \(\sqrt{\dfrac{9}{169}}\)

\(=\sqrt{\dfrac{3^2}{13^2}}\)

\(=\dfrac{3}{13}\)

f, \(\sqrt{1\dfrac{9}{16}}\)

\(=\sqrt{\dfrac{25}{16}}\)

\(=\sqrt{\dfrac{5^2}{4^2}}\)

\(=\dfrac{5}{4}\)

g, \(\dfrac{\sqrt{2300}}{\sqrt{23}}\)

\(=\dfrac{10\sqrt{23}}{\sqrt{23}}\)

\(=10\)

h, \(\dfrac{\sqrt{12,5}}{\sqrt{0,5}}\)

\(=\dfrac{\dfrac{5\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}\)

\(=\dfrac{\dfrac{5\sqrt{2}}{2}\cdot2}{\sqrt{2}}\)

\(=\dfrac{5\sqrt{2}}{\sqrt{2}}=5\)