Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Radical Equation...Part 1?

Show that both sides of the radical equation are equal.

sqrt{7} - sqrt{8 - 2(sqrt{7}} = 1

3 Answers

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  • QC
    Lv 7
    9 years ago
    Favorite Answer

    √7 − √(8 − 2√7)

    = √7 − √(7 − 2√7 + 1)

    = √7 − √((√7 − 1)(√7 − 1))

    = √7 − √((√7 − 1)²)

    = √7 − (√7 − 1)

    = √7 − √7 + 1

    = 1

    Mαthmφm

  • Sue
    Lv 7
    9 years ago

    √7 - √(8 -2√7) = 1 Get one root on each side of the equals.

    - √(8-2√7) = (1 - √7)

    [- √(8-2√7)]² = (1 - √7)² Square both sides, remember √n² = n and (A - B)² = A² - 2AB + B².

    8 - 2√7 = 1 - 2√7 + 7 Collect like terms.

    8 - 2√7 = 8 - 2√7

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