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Ingri S
Ingri S asked in Science & MathematicsMathematics · 1 decade ago

Simplify (square root of 27m^2)?

Is it 3m (square root of 3)? And why?

2 Answers

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  • Lucy
    Lv 7
    1 decade ago
    Favorite Answer

    √(27m²)

    Remember that √(a * b) = √a * √b.

    √27 * √(m²) =

    Notice that √27 = √(9 * 3).

    √(9 * 3) * √(m²) =

    Remember that √(a * b) = √a * √b.

    √9 * √3 * √(m²) =

    Simplify.

    3 * √3 * m =

    3m√3

    ANSWER: 3m√3

  • Any day
    Lv 6
    1 decade ago

    27 m^2 = 3(9m^2) = 3(3m)^2

    hence

    sqrt(27m^2) = 3m sqrt(3)

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