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Square Roots Practice Worksheet - Derry Area School ...

2001 McGraw-Hill Companies707 Simplifying Radical expressions involving numeric expressions involving algebraic radicalsIn Section , we introduced the radical notation. For most applications, we will want tomake sure that all radical expressions are in simplest accomplish this, the follow-ing three conditions must be expression involving Square Roots is in simplest are no perfect- Square factors in a fraction appears inside a radical appears in the and Properties: Square Root Expressions inSimplest FormFor instance, considering condition 1,is in simplest form because 17 has noperfect- Square factorswhereasis notin simplest formbecause it does contain a perfect- Square perfect squareTo simplify radical expressions, we ll need to develop two important pro

we are multiplying the fraction by or 1, which does not change its value. 13 13 NOTE 15 15 5 12 15 12 5 110 NOTE We multiply numerator and denominator by to “clear” the denominator of the radical. This is also known as “rationalizing” the denominator. 17 In our previous examples, the denominator of the fraction appearing in the radical was

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