Algebra and General Mathematics: Radicals

Review notes in Radicals topic in Algebra and General Mathematics. This will help you prepare in taking the Engineering Board Exam or simply reviewing for your Algebra subject.

Algebra and General Mathematics: Radicals

RADICALS

A radical is an expression of the form n√x which denotes the principal nth root of x.

n√x = x(1/n)

where:

n – index

x – radicand

– radical sign or symbol

in terms of fractional exponent:

n√xm = (n√x)m = xm/n

PROPERTIES OF RADICALS

1. n√xm = (n√x)m
      2. n√x ·n√y = n√(xy)
                       3. (n√x) / (n√y) = n√(x/y), y ≠ 0
  4. m√(n√x) = mn√x
5. (n√x)n = x
                6. (n√xn) = | x |, (n = even)

              (n√xn) = x, (n = odd)


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