Simplifying the square root of an expression

758 views · Published 28 June 2012 · 3:27 · Indexed 25 September 2026

Channel: Brian McLogan · 2012 · Nonprofits & Activism

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👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we decompose/factor the expression into a product of two terms that are the same. The term of the product is the required square root.

When the radical cannot be conveniently decomposed/factored into two same terms, we factor the radicand into a product of a perfect square and a non-perfect square. Using the product/quotient rule of radicals the perfect square is evaluated and the non-perfect square is left as a radical.

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Organized Videos:
✅How To Simplify a Radical Expression
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q
✅How To Simplify The Cube Root of a Number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrv3LSYAQr2MjT3v5OC9u-f
✅How to Simplify The 4th Root of a Number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr0iq2nvMumU6n4MCSIjmCh
✅How to Simplify the Square Root of a Number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqIwmdRqTgvKT75HFVJQo0r
✅How to Simplify The Square Root of a Number with Coefficient
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqxN_mEphu23jL-hf7tnefy
✅How to Simplify Expressions | 4th Root
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✅How to Simplify Radical Expressions | 5th Root
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrfslk9XZdpWzYm0ysKkj7l
✅How to Simplify Radical Expressions | Cube Root
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpOeFktlw1eZpYijVzpk54Y
✅How to Simplify Radical Expressions | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpbzr-EdSoD2Wu_k7vddZk8
✅How to Simplify Radical Expressions | Easy
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqQiTvsXqRkvFmZKMuMJTLy
✅How to Simplify Radical Expressions | Hard
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoSF3265Qpb_GaNzQ3lC-yj

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