Thursday, November 19, 2015

[AM_20151119ISSD] Differences of Squares Hiding under Square Roots

Question

Introduction
     Here is another question involving surds.  As we know, surds are literally absurd, because they are irrational.  How to we do this one?

Strategy

Solution

Remark
     Reflect: What did you learn from solving this question?
     For another example of using the difference of squares formula, please look at this article.

H04. Look for pattern(s)
H09. Restate the problem in another way
H10. Simplify the problem
H11. Solve part of the problem

Suitable Levels
GCE ‘O’ Level Additional Mathematics (indices / surds)
* challenge for GCE ‘O’ Level “Elementary” Mathematics (indices)
* revision for IB Mathematics HL / SL
* other syllabuses that involve indices and/or surds
* any precocious or independent learner who is interested




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