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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus_(2e)/03%3A_Radical_Functions/3.03%3A_Radical_EquationsThis section focuses on solving radical equations, explaining techniques for isolating radicals and eliminating them by raising both sides to an appropriate power. It highlights common pitfalls, such ...This section focuses on solving radical equations, explaining techniques for isolating radicals and eliminating them by raising both sides to an appropriate power. It highlights common pitfalls, such as introducing extraneous solutions, and provides strategies to check solutions. Examples demonstrate solving single and multiple radical equations step by step.
- https://math.libretexts.org/Courses/Mission_College/Math_C%3A_Intermediate_Algebra_(Carr)/05%3A_Roots_and_Radicals/5.06%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.22%3A_Solving_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. Solving radical equations containing an even index by raising both sides to the power o...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. Solving radical equations containing an even index by raising both sides to the power of the index may introduce an algebraic solution that would not be a solution to the original radical equation. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.22%3A_Solving_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. Solving radical equations containing an even index by raising both sides to the power o...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. Solving radical equations containing an even index by raising both sides to the power of the index may introduce an algebraic solution that would not be a solution to the original radical equation. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula
- https://math.libretexts.org/Courses/Fresno_City_College/Math_3A%3A_College_Algebra_-_Fresno_City_College/01%3A_Solving_Equations/1.06%3A_Solving_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/Chapter_3A%3A_Algebra_Topics/3A.11%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/Highline_College/Math_098%3A_Intermediate_Algebra_for_Calculus/04%3A_Chapter_4_-_Radicals/4.07%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/17%3A_Radical_Expressions_and_Functions/17.07%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/Coastline_College/Math_C045%3A_Beginning_and_Intermediate_Algebra_(Tran)/10%3A_Roots_and_Radicals/10.07%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/City_University_of_New_York/MAT1275_Basic/06%3A_Roots_and_Radicals/6.06%3A_Solve_Radical_EquationsOnce we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before...Once we isolate the radical, our strategy will be to raise both sides of the equation to the power of the index. If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula If the length of the skid marks is \(d\) feet, then the speed, \(s\), of the car before the brakes were applied can be found by using the formula \(s=\sqrt{24d}\).
- https://math.libretexts.org/Courses/City_University_of_New_York/College_Algebra_and_Trigonometry-_Expressions_Equations_and_Graphs/02%3A_Equations_with_One_Variable/2.05%3A_Radical_EquationsSuppose for example you know that a boat is 10 meters further from an observer at a light house than the it is from the shore and the observer is 80 meters from the point on the shore that is closest ...Suppose for example you know that a boat is 10 meters further from an observer at a light house than the it is from the shore and the observer is 80 meters from the point on the shore that is closest to boat. Suppose that the triangle that is formed by the observer, the boat, and the point on the shore closest to the boat is a right triangle where the hypotenuse is formed by the segment connecting the observer to the boat.