Radical Equations Worksheet. Web worksheet how to solve equations with radical expressions checking your answer on is required because solutions may be extraneous. The radical equations we are going to solve are mainly square root equations and cubic root equations.
Raise both sides of the equation to the “nth” power. 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} Students will practice solving radical equations. Remember to check for extraneous solutions. The first thing we need to do to solve radical equations is to remove the radical (nth roots). Following are some examples of radical equations, all of which will be solved in this section: The solution is x=49 check: =8 ( x 2(8)2 =64 64=8 8=8 Factoring, combining like terms,…) to isolate the variable. Steps 1 and eliminat 2 if necessary.
Students will practice solving radical equations. Any extraneous solutions from the final answer. Check out some of these worksheets for free! Solve an equation with a single square root using the squaring property of equality. Raise both sides of the equation to the “nth” power. Steps 1 and eliminat 2 if necessary. 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 worksheet how to solve equations with radical expressions checking your answer on is required because solutions may be extraneous. √x + 2 − √x = 1. 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} Remember to check for extraneous solutions.
