Radical Equations Worksheet. The solution is x=49 check: 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.
Remember to check for extraneous solutions. Isolate the radical(s) and identify the index (n). Following are some examples of radical equations, all of which will be solved in this section: =8 ( x 2(8)2 =64 64=8 8=8 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} Check out some of these worksheets for free! 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60 Remember to check for extraneous solutions. 3√4x2 + 7 − 2 = 0. Any extraneous solutions from the final answer.
Check out some of these worksheets for free! 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60 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} Check out some of these worksheets for free! √2x − 1 = 3. Consider the example and try to come up with the solution. √x + 2 − √x = 1. Following are some examples of radical equations, all of which will be solved in this section: Raise both sides of the equation to the “nth” power. Steps 1 and eliminat 2 if necessary.
