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# This is the first part of a three-part problem.

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This is the first part of a three-part problem. Express $$18\sqrt 8$$ in the form $$a\sqrt b$$where a and b are integers and b is as small as possible. Hint(s): Factor sqrt(8) as the product of two square roots, one of which is the square root of a perfect square.

Part 2,Express  $$8\sqrt{18}$$  in the form $$a\sqrt b$$, where a and b are integers and b is as small as possible.

part 3 $$18\sqrt 8-8\sqrt{18}=\sqrt n$$what is n?

Guest Jul 18, 2017
edited by Guest  Jul 18, 2017
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Part 1.  $$18\sqrt8\rightarrow 18\sqrt{2^2\times2}\rightarrow18\times2\sqrt2\rightarrow36\sqrt2$$

Part 2. $$8\sqrt{18}\rightarrow8\sqrt{3^2\times2}\rightarrow8\times3\sqrt2\rightarrow24\sqrt2$$

Part 3.  Now you have parts 1 and 2 you should be able to have a good go at this yourself.

Alan  Jul 18, 2017