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Algebraic expressions are called Radical expressions or Radicals if the exponent is a square-root, cube-root,

fourth-root etc written to the base number. The exponent is called the radical and the number on whose

Example 1: Evaluate the radical expression, (125)1/3.

In the above radical expression, ‘125’ is called the base and ‘1/3’ is the exponent to the base.

Now in order to evaluate this radical expression, we should first try to factor and write ‘125’ in terms of a

repeated number.

.125 = 5 * 5 * 5 -> 53

Hence the radical expression -> (125)1/3 = (53)1/3 = 5.

Example 2: Evaluate the radical expression, (32)1/5.

In the above radical expression, ‘32’ is called the base and ‘1/5’ is the exponent to the base.

Now in order to evaluate this radical expression, we should first try to factor and write ‘32’ in terms of a

repeated number.

.32 = 2 * 2 * 2 * 2 * 2-> 25

Hence the radical expression -> (32)1/5 = (25)1/5 = 2.