if x = √3+√2/√3-√2 then find the value of x²​

Question

if x = √3+√2/√3-√2 then find the value of x²​

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Aubrey 2 months 2021-10-10T13:03:37+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-10T13:04:51+00:00

    Answer:

    x² = 48+20√6

    Step-by-step explanation:

    please thanks

    0
    2021-10-10T13:04:58+00:00

    Answer:

    x= √3+√2/√3-√2

    x²= (√3+√2/√3-√2)²

    using

    • (a-b)²=a²+b²-2ab
    • (a+b)²=a²+b²+2ab

    x²=(√3)²+(√2)²+2(√3)(√2)/ (√3)²+(√2)²-2(√3)(√2)

    3+2+2√6/3+2-2√6

    5+2√6/5-2√6

    Rationalising the denominator

    (5+2√6)²/(5-2√6)(5+2√6)

    using

    • (a+b)²=a²+b²+2ab
    • (a-b)(a+b)= a²-b²

    (5)²+(2√6)²+2(5)(2√6) / (5)²-(2√6)²

    25+24+20√6 / 25-24

    x²=48+20√6

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