Question

tính

\(\sqrt{1\dfrac{24}{25}.5\dfrac{1}{16}.0,01}\)

Answer 1

\(\sqrt{1\dfrac{24}{25}\cdot5\dfrac{1}{16}\cdot0,01}\\ =\sqrt{\dfrac{49}{25}\cdot\dfrac{81}{16}\cdot\dfrac{1}{100}}\\ =\sqrt{\dfrac{49}{25}}\cdot\sqrt{\dfrac{81}{16}}\cdot\sqrt{\dfrac{1}{100}}\\ =\dfrac{7}{5}\cdot\dfrac{9}{4}\cdot\dfrac{1}{10}\\ =\dfrac{7\cdot9\cdot1}{5\cdot4\cdot10}\\ =\dfrac{63}{200}\)

Answer 2

\(\sqrt{1\dfrac{24}{25}.5\dfrac{1}{16}.0,01}=\sqrt{\dfrac{49}{25}.\dfrac{81}{16}.0,01}\) = \(\sqrt{\dfrac{49}{25}}.\sqrt{\dfrac{81}{16}}.\sqrt{0,01}\)

= \(\dfrac{7}{5}.\dfrac{9}{4}.0,1=\dfrac{63}{200}\)