Multiplying & Dividing with Surds | Algebra | Maths | FuseSchool

A surd is a square root which cannot be reduced to a whole number. Surds are irrational; they are decimals that never end and never repeat, so cannot be written as fractions. Leaving a number in it's surd form is easier and more accurate than writing and rounding the decimal places. We see surds in Pythagoras for example. To simplify surds you look for the largest square number that goes into it. You then split the surd into this square number and what it multiplies to make the original surd number. So root 8 would split into root 4 X root 2 because 4 is the square number and it multiplies by 2 to give the original 8. In this video we use our knowledge of surds to multiply and divide with surds. You treat the number inside the root as one thing, and any numbers outside separately. Think of surds as algebraic expressions. When multiplying surds, you multiply the number inside the root together. When dividing surds, you divide the numbers inside the roots. Remember to simplify the final answer. Click here to see more videos: VISIT us at, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Twitter: Access a deeper Learning Experience in the FuseSchool platform and app: This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us:

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