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Как да изчислим Radicals & Roots

Какво е Radicals & Roots?

A radical expression contains a root symbol (√). The nth root of x: ⁿ√x = x^(1/n). Square roots (n=2) are most common. Simplifying radicals means removing perfect square factors from inside the radical.

Ръководство стъпка по стъпка

  1. 1√(ab) = √a × √b (product rule for radicals)
  2. 2√(a/b) = √a / √b (quotient rule)
  3. 3Simplify: √72 = √(36×2) = 6√2
  4. 4Rationalize denominator: 1/√2 = √2/2

Worked Examples

Вход
√48
Резултат
4√3
√(16×3) = 4√3
Вход
∛(54)
Резултат
3∛2
∛(27×2) = 3∛2
Вход
√(x²y⁴)
Резултат
xy²
Assuming x,y ≥ 0

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