√2x − 1 = 3. Isolate the radical(s) and identify the index (n). 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 Check out some of these worksheets for free! Raise both sides of the equation to the “nth” power. 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. 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 radical equations are equations contain radical expressions. Factoring, combining like terms,…) to isolate the variable.
Web worksheet how to solve equations with radical expressions checking your answer on is required because solutions may be extraneous. 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 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} =8 ( x 2(8)2 =64 64=8 8=8 √2x − 1 = 3. This 25 quesion worksheet includes challenge problems and asks students to perform error analysis on this topic. The radical equations we are going to solve are mainly square root equations and cubic root equations. Web radical equations are equations contain radical expressions. Extraneous solutions of radical equations. The solution is x=49 check: Solve an equation with a single square root using the squaring property of equality.
