If 18√8 - 8√18 = √n, what is n? Can you express 18√8 - 8√18 as multiples of the same square root?

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Explanation:

Simplify the first part of the left side

And do the same for the second part of the left side

For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.

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The original equation turns into

We have the common factor of so we can combine like terms on the left side ending up with

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So,

Yes it is possible to express as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of

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step-by-step explanation: