Question

Tính :

a) \(5\dfrac{1}{3}+2,5.\left(\dfrac{1}{3}-\dfrac{5}{12}\right)\)

b) \(\sqrt{12^2-44}-\left(1\dfrac{3}{4}-2\right)^2+\left(-1.5\right)^5:\left(\dfrac{-3}{2}\right)^4\)

Answer 1

\(5\dfrac{1}{3}+2,5\left(\dfrac{1}{3}-\dfrac{5}{12}\right)\)

\(=\dfrac{16}{3}+2,5.\dfrac{-1}{12}\)

\(=\dfrac{16}{3}+\dfrac{-5}{24}=\dfrac{41}{8}\)

\(\sqrt{12^2-44}-\left(1\dfrac{3}{4}-2\right)^2+\left(-1,5\right)^5:\left(\dfrac{-3}{2}\right)^4\)

\(=\sqrt{144-44}-\left(\dfrac{7}{4}-2\right)^2+\left(-1,5\right)^5:\left(\dfrac{3}{-2}\right)^4\)

\(=\sqrt{100}-\left(\dfrac{-1}{4}\right)^2+\left(1,5\right)^5:\left(\dfrac{3}{-2}\right)^4\)

\(=10-\dfrac{1}{16}+\dfrac{243}{32}:\dfrac{81}{16}\)

\(=\dfrac{183}{16}\)