Ta có:
+ \(\sqrt {911,9} =\sqrt {9,119.100}=\sqrt{9,119}.\sqrt{100}\)
\(=\sqrt{9,119}.\sqrt{10^2}=\sqrt{9,119}.10 \)
\(\approx 3,019.10=30,19.\)
+ \(\sqrt {91190} =\sqrt {9,1190.10000}=\sqrt{9,119}.\sqrt{10000}\)
\(=\sqrt{9,119}.\sqrt{100^2}=\sqrt{9,119}.100 \)
\(\approx 3,019.100=301,9.\)
(vì \(9,1190=9,119\))
+\(\sqrt {0,09119} =\sqrt {9,119.0,01}=\sqrt{9,119}.\sqrt{0,01}\)
\(=\sqrt{9,119}.\sqrt{0,1^2}=\sqrt{9,119}.0,1 \)
\(\approx 3,019.0,1=0,3019.\)
+ \(\sqrt {0,0009119} =\sqrt {9,119.0,0001}=\sqrt{9,119}.\sqrt{0,0001}\)
\(=\sqrt{9,119}.\sqrt{0,01^2}=\sqrt{9,119}.0,01 \)
\(\approx 3,019.0,01=0,03019.\)