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If 5+2√3÷7+4√3=k-6√3 find the value of …

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If 5+2√3÷7+4√3=k-6√3 find the value of k

    • Posted by Kashika Khuranaa.. ? 5 years, 5 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 5 months ago

    LHS = (5+2√3)/(7+4√3)
    = [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]
    =[35-20√3+14√3-24]/[7²-(4√3)²]
    =[11-6√3]/[49-48]
    =11-6√3
    therefore
    11 - 6√3 = a + b√3
    Compare both sides
    a= 11, b= -6

    1Thank You

    ANSWER
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