find the value of a and b if √13-√5/√13+√5=a-b√65

Question

find the value of a and b if √13-√5/√13+√5=a-b√65

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Lydia 1 week 2021-11-19T14:27:56+00:00 1 Answer 0 views 0

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    2021-11-19T14:29:16+00:00

    Answer:

    Step-by-step explanation:

    (√13-√5)/(√13+√5)

    =(√13-√5)²/{(√13)²-(√5)²} (rationalising the denominator)

    ={(√13)²+(√5)²-2(√13)(√5)}/(13-5)

    =(13+5-2√65)/8

    =(18-2√65)/8

    =(18/8)-(2√65/8)=(18/8)-(2/8)√65

    =(9/4)-(1/4)√65

    So, a=9/4 and b=1/4 (answer)

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