Skip to main content
  1. Life
  2. Education & Schools
  3. General Education

Fractional powers and real roots

See also

We have a special expression for symbolizing the real root of a number. We say that a^1/n represents the real root of a number if and only if n is even and a is positive. If these conditions obtain, then we have the principal nth root of the number a. This is precisely what is intended when we see a radicand under a square root symbol with an n to the upper left of the square root. This n represents the nth root of the radicand. For example, if we have 64 under a square root sign, and the number 5 where the n variable would normally be, to the upper left of the square root symbol, our answer is 4, since the 5th root of 64 is 4. The reader might be interested to know that the square root implies a 2 as the index. This is precisely why it's called the "square" root.

Advertisement

Life

  • ESPYS party
    Athletes and celebrities hit the red carpet at Body at the ESPYS party
    Today's Buzz
  • Healthy balance
    Keeping a healthy balance is so important for your own well-being
    Camera
    15 Photos
  • Apollo
    NASA observes 45th anniversary of Apollo 11: One giant leap for mankind
    Camera
    14 Photos
  • Unique jewelry
    Nothing catches the eye or completes and outfit like a great piece of jewelry
    Camera
    12 Photos
  • Student Farmworker Alliance
    Student-Farmworker Alliance launches 'Boot the Braids' web site
    Camera
    15 Photos
  • Exercise
    Find out why you should exercise to compliment your diet
    Camera
    10 Photos