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John B
John B asked in Education & ReferenceHomework Help · 10 years ago

how to simplify [√(x+5) - √5] / x?

the square root of x plus five

minus

the square root of 5

divided by

x

thanks

1 Answer

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  • Dr Pi
    Lv 4
    10 years ago
    Favorite Answer

    [√(x+5) - √5] / x

    Multiply by [√(x+5) + √5]/([√(x+5) + √5] ==> [(√(x+5) - √5][√(x+5) + √5)]/([√(x+5) + √5](x))

    ==> (x)/((x)([√(x+5) + √5])

    ==> (1)/(√(x+5) + √(5))

    Note: [√(x+5) + √5] is the conjugate of [√(x+5) - ��5]

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