Solving 72 = 6^2: What is the Technique?

streetmeat · Jul 5, 2007

quick question:

how does this work- (root)72 = 6(root)2

and what is this technique called?

cristo · Jul 5, 2007

To simplify squareroots one writes the argument as a product, one of which is a square number. So, [itex]\sqrt{72}=\sqrt{36\times 2}=\sqrt{36}\sqrt{2}=6\sqrt{2}[/itex]

The technique I guess would be called simplifying a square root.

Kurdt · Jul 5, 2007

Square roots of integers are often labelled 'surds' in textbooks.

Solving 72 = 6^2: What is the Technique?

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