If \($x \diamond y = \frac{\sqrt{xy}}{|x-y|}$\) ,find \($4 \diamond (9 \diamond 1)$\) to the nearest tenth.
(x diamond y ) = ( 9 diamond 1) = √[9*1] / l 9 - 1 l = √9 / l 8 l = 3/8
(x diamond y ) = (4 diamond 3/8) =
√[ 4 * (3/8) ] / [ 4 - 3/8 l =
√ [12/8 ] / l 32/8 - 3/8 l =
√ [3/2] / l 29/8 l =
(8/29)* √ 1.5 ≈ 0.3
