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    Subject

    Bank Exam

    Topic

    Al-Arafah Islami Bank Ltd. - Management Trainee Officer - 2017

    What is the value of 28 ×2412 ×8?\frac{{\sqrt {28}  \times \sqrt {24} }}{{\sqrt {12}  \times \sqrt 8 }}?

    ক)
    \(2\sqrt 2 \)
    খ)
    \(3\sqrt 2 \)
    গ)
    \(\sqrt 2 \)
    ঘ)
    None of these

    Explanation

    Solution: 28 ×2412 ×8=4×7 ×4×63×4 ×2×4=27 ×2623 ×22=47 ×64×3×2=7 ×66=7\frac{{\sqrt {28}  \times \sqrt {24} }}{{\sqrt {12}  \times \sqrt 8 }} = \frac{{\sqrt {4 \times 7}  \times \sqrt {4 \times 6} }}{{\sqrt {3 \times 4}  \times \sqrt {2 \times 4} }} = \frac{{2\sqrt 7  \times 2\sqrt 6 }}{{2\sqrt 3  \times 2\sqrt 2 }} = \frac{{4\sqrt 7  \times \sqrt 6 }}{{4 \times \sqrt {3 \times 2} }} = \frac{{\sqrt 7  \times \sqrt 6 }}{{\sqrt 6 }} = \sqrt 7

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