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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    The value of\[\frac{1}{\sqrt{6.25}+\sqrt{5.25}}+\frac{1}{\sqrt{4.25}+\sqrt{3.25}}\]\[+\frac{1}{\sqrt{5.25}+\sqrt{4.25}}+\frac{1}{\sqrt{3.25}+\sqrt{2.25}}\]is

    A)  1.00                            

    B)  1.25             

    C)  1.50                            

    D)  2.25

    Correct Answer: A

    Solution :

    (a): Rationalizing each term, \[\frac{\sqrt{6.25}-\sqrt{5.25}}{1}+\frac{\sqrt{4.25}-\sqrt{3.25}}{1}+\frac{\sqrt{5.25-\sqrt{4.25}}}{1}+\frac{\sqrt{3.25}-\sqrt{2.25}}{1}\]\[=\sqrt{6.25}-\sqrt{2.25}=2.5-1.5=1\]


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