Subject

    Quantitative Aptitude

    Topic

    Simplification

    If x=(1.96)−(0.04)x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)} then the value of x is

    ক)
    1.20
    খ)
    1.68
    গ)
    11.99
    ঘ)
    12
    ঙ)
    12.99

    Explanation

    The given expression may be simplified as: ⇒x=(1.96)−(0.04)\Rightarrow x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)} ⇒x=196100−4100\Rightarrow x = \sqrt {\frac{{196}}{{100}}} - \sqrt {\frac{4}{{100}}} ⇒x=(196−4)100\Rightarrow x = \frac{{\left( {\sqrt {196} - \sqrt 4 } \right)}}{{\sqrt {100} }} =14−210= \frac{{14 - 2}}{{10}} = 1.20

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