8th Class Mathematics Squares and Square Roots Question Bank Square and Square Roots

  • question_answer \[\frac{\left( \sqrt{32}+\sqrt{48} \right)}{\left( \sqrt{8}+\sqrt{12} \right)}=?\]

    A)  \[\sqrt{2}\]                               

    B)  2   

    C)  4                                

    D)  8

    Correct Answer: B

    Solution :

    (b) \[\frac{\sqrt{32}+\sqrt{38}}{\sqrt{8}+\sqrt{12}}\times \frac{\sqrt{8}-\sqrt{12}}{\sqrt{8}-\sqrt{12}}\] \[=\frac{(4\sqrt{2}+4\sqrt{3})\times (2\sqrt{2}-2\sqrt{3})}{(8-12)}\] \[=-2\times \left( 2-3 \right)=+2.\]

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