+23252 sqrt(8) = sqrt( 4 x 2 ) = sqrt(4) x sqrt(2) = 2·sqrt(2)
18·sqrt(8) - 8·sqrt(2) = sqrt(n)
18·2·sqrt(2) - 8·sqrt(2) = sqrt(n)
36·sqrt(2) - 8·sqrt(2) = sqrt(n)
28·sqrt(2) = sqrt(n) Since 28 = sqrt( 28 x 28 ) = sqrt(784)
sqrt(784)·sqrt(2) = sqrt(n)
sqrt( 784 x 2 ) = sqrt(n)
sqrt(1568) = sqrt(n)
+2668 \(18 \sqrt 8 = 18\times \sqrt 4 \times \sqrt 2 = 18 \times 2 \times \sqrt 2 = 36 \sqrt 2\)
\(36 \sqrt 2 - 8 \sqrt 2 = 28 \sqrt 2 \)
\(28 \sqrt 2 = \sqrt {28^2} \times \sqrt 2 \)
\(\sqrt {728} \times \sqrt 2 = \sqrt{728 \times 2} = \sqrt{\color{brown}\boxed{1568}}\)
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