The problem
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I don't understand how the square root of 15 * 3 (step two) becomes square root of 3 squared times square root of 5. Is there a step in between that makes the square root of 15 * 3 = square root of 45?
Answer provided by our tutors
You can obtain an explanation for any step by clicking on it. Please note that you cannot click on the very first expression, which is the original problem. Quite often, several transformations will be performed within the same step.
We need to combine all radicands in this term, under one radical sign. (Radicand is the value inside the radical symbol, the value you want to take the root of)
This is possible, because all the indexes are equal.
In our example, the common index is '2' and the following radicands will be combined: 15, 3