Question

[Ngọc Thư]

tính

a.\(\sqrt{\dfrac{289}{225}}\)

b.\(\sqrt{2\dfrac{14}{25}}\)

c.\(\sqrt{\dfrac{0,25}{9}}\)

d.\(\sqrt{\dfrac{8,1}{1,6}}\)

Answer 1

[Đức Hiếu]

a, \(\sqrt{\dfrac{289}{225}}=\sqrt{\dfrac{17^2}{15^2}}=\dfrac{17}{15}\)

b, \(\sqrt{2\dfrac{14}{25}}=\sqrt{\dfrac{64}{25}}=\sqrt{\dfrac{8^2}{5^2}}=\dfrac{8}{5}\)

c, \(\sqrt{\dfrac{0,25}{9}}=\sqrt{\dfrac{0,5^2}{3^2}}=\dfrac{0,5}{3}\)

d, \(\sqrt{\dfrac{8,1}{1,6}}=\sqrt{\dfrac{0,1}{0,1}.\dfrac{81}{16}}=\sqrt{1.\dfrac{81}{16}}=\dfrac{9}{4}\)

Chúc bạn học tốt!!!

Answer 2

[qwerty]

a) \(\sqrt{\dfrac{289}{225}}\)

\(=\dfrac{\sqrt{289}}{\sqrt{225}}\)

\(=\dfrac{\sqrt{17^2}}{\sqrt{15^2}}\)

\(=\dfrac{17}{15}\)

b) \(\sqrt{2\dfrac{14}{15}}\)

\(=\sqrt{\dfrac{44}{15}}\)

\(=\dfrac{\sqrt{44}}{\sqrt{15}}\)

\(=\dfrac{2\sqrt{11}}{\sqrt{15}}\)

\(=\dfrac{2\sqrt{165}}{15}\)

c) \(\sqrt{\dfrac{0,25}{9}}\)

\(=\sqrt{\dfrac{1}{\dfrac{4}{9}}}\)

\(=\dfrac{\dfrac{1}{2}}{3}\)

\(=\dfrac{1}{6}\)

d) \(\sqrt{\dfrac{8,1}{1,6}}\)

\(=\sqrt{5,0625}\)

\(=\sqrt{\dfrac{81}{16}}\)

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