MHB How can a radical equation be verified algebraically without a calculator?

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To verify a radical equation algebraically, isolate the radical on one side and then square both sides to eliminate the radical. After squaring, simplify the resulting equation and solve for the variable. Check the solutions by substituting them back into the original equation to ensure both sides are equal. It's crucial to consider any extraneous solutions that may arise from the squaring process. This method provides a clear approach to verifying radical equations without the need for a calculator.
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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?

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https://mathhelpboards.com/pre-calculus-21/radical-equation-1-a-23550.html
 
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