It satisfies some of the requirements for common core algebra (HSN.RN.A.2). These radical expressions has terms with coefficients and variables. The purpose of this assignment is to reinforce the concept of finding perfect squares and to use the properties of exponents to solve problems. This is done taking factors under the radical symbol and use the parenthesis to change perfect squares to squares (i.e. √(x^16 )=√((x^8 )^2 )=x^8). Eleven of the problems will result in perfect squares. Nine of the problems will have a surd in the answer. Six problems has a coefficient (whole number) under the radical symbol. This worksheet is two pages in length, but there are a modified set, limited answer key and answer key for a total of eight pages. Prerequisite for students to know is the basic squares of commonly use values and properties of exponents. The first two pages are for the general students. Pages three and four are modified to help students complete this assignment. The limited answer key is for students to check their work and answers. It only have the odd numbers completed. I am using parenthesis to show multiplication, because it can be confusing for students with messy penmanship when working with decimals.
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