Railways Quantitative Aptitude Power, Surds And Indices Sample Paper Surds Indices Sample Test Paper-4

  • question_answer
    Simplify: \[{{\left[ 5{{\left( {{8}^{\frac{1}{3}}}+{{27}^{\frac{1}{3}}} \right)}^{3}} \right]}^{\frac{1}{4}}}\]

    A)  0                    

    B)  1         

    C)  5                    

    D)  2

    Correct Answer: C

    Solution :

    [c] \[{{\left[ 5{{\left( {{8}^{\frac{1}{3}}}+{{27}^{\frac{1}{3}}} \right)}^{3}} \right]}^{\frac{1}{4}}}={{\left[ {{\left( 5{{({{2}^{3}})}^{\frac{1}{3}}}+{{({{3}^{3}})}^{\frac{1}{3}}} \right)}^{3}} \right]}^{\frac{1}{4}}}\] \[={{\left[ 5{{(2+3)}^{3}} \right]}^{\frac{1}{4}}}\] \[={{\left[ 5{{(5)}^{3}} \right]}^{\frac{1}{4}}}\] \[={{\left[ {{5}^{4}} \right]}^{\frac{1}{4}}}=5\]


You need to login to perform this action.
You will be redirected in 3 sec spinner