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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: √8/15 √x ³/27 (x>0) √12/75 5/2 √48/49 đề bài : khử mẫu

Toán Lớp 9: √8/15
√x ³/27 (x>0)
√12/75
5/2 √48/49
đề bài : khử mẫu

Comments ( 2 )

  1. Giải đáp:
    sqrt{8/15}=\frac{sqrt8}{sqrt15}=\frac{2sqrt2}{sqrt15}=\frac{2sqrt2sqrt15}{sqrt15sqrt15}=\frac{2sqrt30}{15}
    sqrt{(x^3)/27}=\frac{sqrt{x^3}}{sqrt27}=\frac{xsqrtx}{3sqrt3}=\frac{xsqrtxsqrt3}{3sqrt3sqrt3}=\frac{xsqrt{3x}}{9}
    sqrt{12/75}=sqrt{4/25}=2/5
    5/2 sqrt{48/49}=5/2 xx\frac{sqrt48}{7}=5/2 xx \frac{4sqrt3}{7}=5xx\frac{2sqrt3}{7}=\frac{10sqrt3}{7}

  2. Giải đáp:
    $\begin{array}{l}
    \sqrt {\dfrac{8}{{15}}}  = \dfrac{{2\sqrt 2 }}{{\sqrt {15} }} = \dfrac{{2\sqrt 2 .\sqrt {15} }}{{15}} = \dfrac{{2\sqrt {30} }}{{15}}\\
    \sqrt {\dfrac{{{x^3}}}{{27}}}  = \dfrac{{x\sqrt x }}{{3\sqrt 3 }} = \dfrac{{x\sqrt {3x} }}{{3.3}} = \dfrac{{x\sqrt {3x} }}{9}\\
    \sqrt {\dfrac{{12}}{{75}}}  = \sqrt {\dfrac{4}{{25}}}  = \dfrac{2}{5}\\
    \dfrac{5}{2}\sqrt {\dfrac{{48}}{{49}}}  = \dfrac{5}{2}.\sqrt {\dfrac{{16.3}}{{{7^2}}}}  = \dfrac{5}{2}.\dfrac{{4\sqrt 3 }}{7} = \dfrac{{10\sqrt 3 }}{7}
    \end{array}$

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222-9+11+12:2*14+14 = ? ( )