Rationalize the denominator of the fraction √5 /(√8 – √3)

Question

Rationalize the denominator of the fraction √5 /(√8 – √3)

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Anna 3 weeks 2021-10-07T17:40:10+00:00 2 Answers 0

Answers ( )

    0
    2021-10-07T17:41:11+00:00

    Answer:

    \frac{2\sqrt{10}+\sqrt{15}  }{5}

    Step-by-step explanation:

    \frac{\sqrt{5} }{\sqrt{8}-\sqrt{3}  } =\frac{\sqrt{5}*(\sqrt{8}+\sqrt{3}) }{(\sqrt{8}-\sqrt{3})(\sqrt{8}+\sqrt{3})  } =\frac{\sqrt{40}+\sqrt{15}  }{8-3} =\frac{2\sqrt{10}+\sqrt{15}  }{5}

    0
    2021-10-07T17:41:30+00:00

    Answer is 2/5 (√10 + √15)

    Step-by-step explanation:

    • Step 1: To rationalize the denominator, multiply numerator and denominator by the conjugate of the denominator = (√8 + √3)

    √5 (√8 + √3)/(√8 – √3)(√8 + √3) = (√40 + √15)/(8 – 3)

                                                   [using the identity (a+b)(a-b) = a² – b²]

                                                          = 2/5 (√10 + √15)

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45:7+7-4:2-5:5*4+35:2 =? ( )