3√4x2 + 7 − 2 = 0. 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 radical equations are equations contain radical expressions. Any extraneous solutions from the final answer. 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. Raise both sides of the equation to the “nth” power. The first thing we need to do to solve radical equations is to remove the radical (nth roots). Solve an equation with a single square root using the squaring property of equality. Consider the example and try to come up with the solution.
Remember to check for extraneous solutions. Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. =8 ( x 2(8)2 =64 64=8 8=8 Web worksheet how to solve equations with radical expressions checking your answer on is required because solutions may be extraneous. Check out some of these worksheets for free! Remember to check for extraneous solutions. Raise both sides of the equation to the “nth” power. Any extraneous solutions from the final answer. Students will practice solving radical equations. Extraneous solutions of radical equations. 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