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mathdad
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Verify that both sides of the radical equation agree without using a calculator. See picture. How can this be done algebraically?
View attachment 7966
View attachment 7966
A radical equation is an equation that contains a variable under a radical symbol, such as a square root or cube root.
To solve a radical equation, you first need to isolate the radical term on one side of the equation. Then, you can square both sides of the equation to eliminate the radical. Finally, solve for the variable by using basic algebraic principles.
Verifying radical equations is important to ensure that the solutions obtained are valid. This is because sometimes when solving radical equations, extraneous solutions may arise, which are values that do not satisfy the original equation.
One common mistake when verifying radical equations is forgetting to check for extraneous solutions. Another mistake is not squaring both sides of the equation correctly, resulting in incorrect solutions.
Yes, a useful tip for verifying radical equations is to always check your solutions by plugging them back into the original equation. This will help catch any extraneous solutions and ensure the validity of your answers.
