Question

\(\sqrt{\dfrac{1}{125}}.\sqrt{\dfrac{32}{35}}:\sqrt{\dfrac{56}{225}}\)

Tính.

Answer 1

\(=\sqrt{\dfrac{1.32.225}{125.35.56}}\\ =\sqrt{\dfrac{2^5.25.9}{25.5.35.8.7}}\\ =\sqrt{\dfrac{2^2.9}{5.35.7}}\\ =\sqrt{\dfrac{36}{1225}}\\ =\dfrac{6}{35}\)

Answer 2

\(\sqrt{\dfrac{1}{125}}.\sqrt{\dfrac{32}{35}}:\sqrt{\dfrac{56}{225}}\)

\(=\sqrt{\dfrac{1}{125}}.\sqrt{\dfrac{32}{35}}.\sqrt{\dfrac{225}{56}}\)

\(=\sqrt{\dfrac{1.32.225}{125.35.56}}=\sqrt{\dfrac{2^5.5^2.3^2}{5^3.5.7.7.2^3}}\)

\(=\sqrt{\dfrac{2^2.3^2}{5^2.7^2}}=\dfrac{6}{35}\)

Chúc bạn học tốt!!!

Answer 3

Sử dụng máy tính casio ta được:

\(\sqrt{\dfrac{1}{125}}.\sqrt{\dfrac{32}{35}}:\sqrt{\dfrac{56}{225}}\)\(=\dfrac{5}{36}\)