9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers). 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers). 25 25 is a perfect square because it can be expressed as 5 * 5 (the product of two equal integers). Radical Expressions N.RN.2 Rewrite expression involving radicals using operations. Know your perfect squares Simplify Radicals Simplify Using Perfect Square Method Step 1: Find the LARGEST perfect square that goes into 147 Step 2: simplify Simplify Step 1: Find the LARGEST perfect square that goes into 605 Step 2: Simplify = = = = = = = = = = Perfect Square Factor * Other Factor Your Turn to ...

*Operations with Radicals When you add expressions containing radicals, you can add only like terms or like radical expressions. Two radical expressions are called like radical expressions if both the indices and the radicands are alike. To multiply radicals, use the Product and Quotient Properties.*(1) 81 has two real square roots: p 9 = 3 and p 9 = 3. (2) 3 p 27 = 3 (3) p 25 has no real square root. Perfect squares and perfect cubes A perfect square is an integer which is a square of an integer. A perfect cube is an integer which is a cube of an integer. Ex.4 State whether each number is a perfect square, a perfect cube, both, or neither ... Simplifying Radical Expressions. A radical expression contains a square root. The expression inside the square root is called a radicand. To simplify a radical expression, extract all perfect squares from the radicand. Use the product and quotient properties of square roots to help you simplify radical expressions.