Question

câu 1 . thực hiện phép tính

a. \(\sqrt{4,9.360}\)

b. \(\sqrt{2,25.0,04}\)

c. \(\sqrt{3\dfrac{1}{16}.2\dfrac{14}{15}}\)

d. \(\sqrt{9-\sqrt{17}}-\sqrt{9+\sqrt{17}}\)

e. \(\sqrt{\dfrac{144}{169}}\)

g.\(\dfrac{\sqrt{27}}{\sqrt{3}}\)

f. \(\sqrt{2,25}\)

n.\(\sqrt{\dfrac{25}{529}}\)

Answer 1

\(a,\sqrt{4,9.360}=\sqrt{49.36}=\sqrt{49}.\sqrt{36}=7.6=42\)

b,\(\sqrt{2,25.0,04}=\sqrt{0.09}=0.3\)

c, \(\sqrt{3\dfrac{1}{16}.2\dfrac{4}{15}}=\sqrt{\dfrac{49}{16}.\dfrac{44}{15}}=\sqrt{\dfrac{49}{16}}.\sqrt{\dfrac{44}{15}}=\dfrac{7}{4}.1,7=2,99\approx3\)

e, \(\sqrt{\dfrac{144}{169}}=\dfrac{\sqrt{144}}{\sqrt{169}}=\dfrac{12}{13}\)

g,\(\dfrac{\sqrt{27}}{\sqrt{3}}=\sqrt{\dfrac{27}{3}}=\sqrt{9}=3\)

f,\(\sqrt{2,25}=\dfrac{3}{2}\)

n,\(\sqrt{\dfrac{25}{529}}=\dfrac{\sqrt{25}}{\sqrt{529}}=\dfrac{5}{23}\)