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Surd Q/A: Simplifying Complex Surds Easily episode artwork

Oct 25, 2025

Surd Q/A: Simplifying Complex Surds Easily

from akwash360 3Speak Podcast Hosted by akwash360

https://3speak.tv/watch?v=akwash360/tjpqwxvyhn Hello amazing people! It’s another beautiful day to learn Mathematics. Today, we’re simplifying a large surd to its simplest form. Whenever you come across a large surd, the first step is to divide the number under the root by its smallest factor. In this example, we’re dealing with √50, √18, and √8, and the smallest common factor for all of them is 2. For instance, √50 can be expressed as √2 × √25. Since 25 is a perfect square, it becomes easier to simplify. The same method applies to the other surds as well. Afterward, we factor out the common terms, cancel where necessary, and simplify the expression to its lowest form. In this case, our final answer is 8. See detail workings below: Tools Used Graphics tablet/Pen Miro online white board Laptop Video edited with VSDC

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