The surd expression is [ √(18k) · √(8k - 2k ) ] / [√(54) - √(24) ].

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= [ √(18k) · √(6k ) ] / [√(54) - √(24) ]

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Apply product property of radical :

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1. If n is even and a and b are both nonnegative, then \"\" and 2. If n is odd, then \"\".

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= [ √(18k · 6k ) ] / [√(54) - √(24) ]

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Factor into squares where possible.

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= [ √(62 · k2 · 3 ) ] / [√(9 ·) - √(24) ]

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\"\"