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x= (square root) 15.75?

How would i do this to get a x=_(square root)__ format?

2 Answers

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  • Huh
    Lv 6
    6 years ago

    x = ± √15.75

    x = ± √[15 + (75 / 100)]

    x = ± √[15 + (3 / 4)]

    x = ± √[(15 / 1)(4 / 4) + (3 / 4)]

    x = ± √[(60 / 4) + (3 / 4)

    x = ± √[(60 + 3) / 4]

    x = ± √(63 / 4)

    x = ± √63 / √4

    x = ± √(9 * 7) / 2

    x = ± (√9)(√7) / 2

    x = ± (3√7) / 2 = ~ ± 3.9686

    -------

    The alt code for ± is 241, and the alt code for √ is 251, while pressing alt, of course.

  • DWRead
    Lv 7
    6 years ago

    √15.75 = √(63/4)

    = √(3²·7/2²)

    = √3²√7/√2²

    = (3√7)/2

    = 1.5√7

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