Determine the power by looking at the numerator of the exponent. Determine the root by looking at the denominator of the exponent. Using the base as the radicand, raise the radicand to the power and use the root as the index.
If so, you can bring the root of that Base term out to the front of the radical for the highest multiple of that “root”. 8 2 is equal to 2 3 which is equal to 2 2 × 2 1 and eequal to 4 × 2 You know that 4 = 2, so 2 2 is the simplest form. For square roots, the radical expression is in
Convert to Radical Form 100^ (1/2) 1001 2 100 1 2. If n n is a positive integer that is greater than x x and a a is a real number or a factor, then ax n = n√ax a x n = a x n. ax n = n√ax a x n = a x n. Use the rule to convert 1001 2 100 1 2 to a radical, where a = 100 a = 100, x = 1 x = 1, and n = 2 n = 2. √100 100.
A radical expression is said to be in standard form if the following conditions hold: The radicand is positive. The radical index is as small as possible. The exponent of each factor of the radicand is a natural number less than the radical index. There are no fractions in the radicand. There are no radicals in the denominator of a fraction.
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