RADICALS √ A square root or radical is said to be simplified when: 1. there are no perfect square factors (besides 1) under the radical 2. there is not a fraction under the radical 3. there is not a radical in the denominator To simplify a radical, "take out" from under the radical sign the largest perfect square factor contained within the radicand. Example: √8 √50 If you cannot easily see the largest perfect square factor in the radicand, use the prime factorization method. Example: 1. Factor 2. Find the perfect square pairs. 3. "Take out" from under the radical sign the square root of each perfect square. √150 **What is the largest perfect square that divides evenly into the radicand? Radical wksht HW # 48 p. 255 # 1 12
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