Question

Tính:

a) \(\sqrt{\dfrac{9}{25}}\);                  b) \(\sqrt{1\dfrac{9}{16}}\);                 c) \(\sqrt{150}:\sqrt{6}\);               d) \(\sqrt{\dfrac{3}{5}}:\sqrt{\dfrac{5}{12}}\).

Answer 1

a) \(\sqrt {\frac{9}{{25}}}  = \frac{{\sqrt 9 }}{{\sqrt {25} }} = \frac{3}{5}\)

b) \(\sqrt {1\frac{9}{{16}}}  = \sqrt {\frac{{25}}{{16}}}  = \frac{{\sqrt {25} }}{{\sqrt {16} }} = \frac{5}{4}\)

c) \(\sqrt {150} :\sqrt 6  = \sqrt {\frac{{150}}{6}}  = \sqrt {25}  = 5\)

d) \(\sqrt {\frac{3}{5}} :\sqrt {\frac{5}{{12}}}  = \sqrt {\frac{3}{5}:\frac{5}{{12}}}  = \sqrt {\frac{3}{5}.\frac{{12}}{5}}  = \sqrt {\frac{{36}}{{25}}}  = \frac{{\sqrt {36} }}{{\sqrt {25} }} = \frac{6}{5}\)