Radical Equations Worksheet. Isolate the radical(s) and identify the index (n). The radical equations we are going to solve are mainly square root equations and cubic root equations.
Consider the example and try to come up with the solution. This 25 quesion worksheet includes challenge problems and asks students to perform error analysis on this topic. Following are some examples of radical equations, all of which will be solved in this section: Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. Solve an equation with a single square root using the squaring property of equality. The solution is x=49 check: √2x − 1 = 3. Raise both sides of the equation to the “nth” power. Isolate the radical(s) and identify the index (n). Extraneous solutions of radical equations.
1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8} The solution is x=49 check: Following are some examples of radical equations, all of which will be solved in this section: Isolate the radical(s) and identify the index (n). Web the pdf worksheets cover topics such as identifying the radicand and index in an expression, converting the radical form to exponential form and the other way around, reducing radicals to its simplest form, rationalizing the denominators, and simplifying the radical expressions. 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8} √x + 2 − √x = 1. =8 ( x 2(8)2 =64 64=8 8=8 3√4x2 + 7 − 2 = 0. Extraneous solutions of radical equations. Remember to check for extraneous solutions.
