What would be the denominator after ratinalizing 7 divide 5√3 subtract 5 √ 2

Question

What would be the denominator after ratinalizing 7 divide 5√3 subtract 5 √ 2

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Audrey 5 months 2021-12-29T16:50:55+00:00 1 Answer 0 views 0

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    2021-12-29T16:52:26+00:00

    Answer:

    25

    Step-by-step explanation:

    a² – b² = (a – b)(a + b)

    7 * (5√3 + 5√2) / (5√3 – 5√2)(5√3 + 5√2) =

    7 * (5√3 + 5√2) / ((5√3)² – (5√2)²) =

    7 * (5√3 + 5√2) / (5²√3² – 5²√2²) =

    7 * (5√3 + 5√2) / (25 * 3 – 25 * 2) =

    7 * (5√3 + 5√2) / (25(3 – 2)) =

    7 * (5√3 + 5√2) / 25

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