Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Prove this ?

Explain how 4/√2 is equal to 2√2

8 Answers

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  • 1 month ago

    4/√2 =

    4/√2 * √2/√2 =

    4√2/2 =

    2√2

  • 1 month ago

    4/√2

    = 2×2/√2

    = 2×√2×√2/√2

    = 2×√2×1

    = 2√2

  • Como
    Lv 7
    1 month ago

    -

    4 / √2 = 4√2 / (√2 x √2) = 4√2 / 2 = 2 √2

  • sepia
    Lv 7
    1 month ago

    4/√2

    = 4√2 / √2√2

    = 4√2 /2

    = 2√2

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  • 1 month ago

    You can multiply by (1)

    ( √2/√2) = (1) so this won't change the value

    4/√2 (√2/√2)

    = 4√2 / (√2*√2)

    = 4√2 /2

    = 2√2

  • atsuo
    Lv 6
    1 month ago

    We know (2√2)*√2 = 2*(√2*√2) = 2*2 = 4 and (4/√2)*√2 = 4 . So

    (2√2)*√2 - (4/√2)*√2 = 0

    [(2√2) - (4/√2)]*√2 = 0

    And we know √2 ≠ 0 so it must be

    (2√2) - (4/√2) = 0

    That is , 2√2 = 4/√2 .

  • ted s
    Lv 7
    1 month ago

    multiply by [ √2 / √2 ] and then cancel to get rid of the bottom 2

  • 1 month ago

    Certainly

    You cannot have square roots as the denominator.

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