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Solving Radical Equations 1 Name:________________________________ A "radical" equation is an equation in which there is a variable inside the radical sign. x 26 x 4 1) Here are four steps to solve equations with radicals Step 1: Isolate the radicals to left side of the equal sign. Step 2: Square each side of the equation (If the radical is not a square root, raise each side to a power equal to the index of the root.) Step 3: Solve the resulting equation Step 4: Check all solutions x 2 2) x 1 2 2 3 4x 9 5 4 16 4) 16 2 6 4 2 6 CHECK x2 3 3 2 3) x Solve these equations. Be sure to check for extraneous solutions! 1 4 x 8 5 3 x 9 3 6 2x 1 5 7 7 3 2 x 1 10 8 2x 1 7 4