MHB How can a radical equation be verified algebraically without 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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You asked this question before:

https://mathhelpboards.com/pre-calculus-21/radical-equation-1-a-23550.html
 
It's good to know that this site keeps a record of posted questions as reference notes.
 
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