MHB How to Verify a Radical Equation Algebraically?

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To verify a radical equation algebraically, one must isolate the radical on one side and then square both sides to eliminate the radical. After squaring, it is essential to simplify the equation and check for extraneous solutions by substituting back into the original equation. The discussion emphasizes the importance of ensuring both sides of the equation are equal after manipulation. Additionally, referencing previous questions on the topic can provide valuable insights and methods for solving similar problems. This approach ensures a thorough understanding of radical equations and their verification.
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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-2-a-23551.html
 
It's good to know that this site keeps a record of posted questions as reference notes.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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