The surd expression is [ √(18k) · √(8k - 2k ) ] / [√(54) - √(24) ].
\= [ √(18k) · √(6k ) ] / [√(54) - √(24) ]
\Apply product property of radical :
\1. If n is even and a and b are both nonnegative, then and 2. If n is odd, then
.
= [ √(18k · 6k ) ] / [√(54) - √(24) ]
\Factor into squares where possible.
\= [ √(62 · k2 · 3 ) ] / [√(9 ·) - √(24) ]
\