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    If 108+243=25.98\sqrt{108} + \sqrt{243} = 25.98108​+243​=25.98. find the value of 147+192\sqrt{147} + \sqrt{192}147​+192​.​
    Question

    If 108+243=25.98\sqrt{108} + \sqrt{243} = 25.98. find the value of 147+192\sqrt{147} + \sqrt{192}.​

    A.

    25.98

    B.

    26.89

    C.

    27.712

    D.

    24.248

    Correct option is A

    Given: 

    108+243=25.98 63+93=25.98 153=25.98 3=1.732\sqrt{108} + \sqrt{243} = 25.98 \\\ \\6\sqrt{3} + 9\sqrt{3} = 25.98\\\ \\15\sqrt{3} = 25.98\\\ \\\sqrt{3} = 1.732

    Solution:

    147+192\sqrt{147} + \sqrt{192}.

    7×7×3+64×3\sqrt{7\times 7 \times 3 } + \sqrt{64 \times 3} 

    73+837\sqrt{3} + 8\sqrt{3} 

    15315 \sqrt{3} 

    15×1.73215 \times 1.732 

    = 25.98

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