Evaluate:
145×142144×2755\sqrt{1\dfrac{4}{5} \times 14\dfrac{21}{44} \times 2\dfrac{7}{55}}154×144421×2557
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145×142144×2755=95×63744×11755=(3×3)×(7×7)×(13×13)×(3×3)(5×5)×(2×2)×(11×11)=3×7×13×35×2×11=819110=749110\sqrt{1\dfrac{4}{5} \times 14\dfrac{21}{44} \times 2\dfrac{7}{55}}\\[1em] = \sqrt{\dfrac{9}{5} \times \dfrac{637}{44} \times \dfrac{117}{55}}\\[1em] = \sqrt{\dfrac{(3\times3)\times(7\times7)\times(13\times13)\times(3\times3)}{(5\times5)\times(2\times2)\times(11\times11)}}\\[1em] = \dfrac{3\times7\times13\times3}{5\times2\times11}\\[1em] = \dfrac{819}{110}\\[1em] = 7\dfrac{49}{110}154×144421×2557=59×44637×55117=(5×5)×(2×2)×(11×11)(3×3)×(7×7)×(13×13)×(3×3)=5×2×113×7×13×3=110819=711049
145×142144×2755=749110\sqrt{1\dfrac{4}{5} \times 14\dfrac{21}{44} \times 2\dfrac{7}{55}} = 7\dfrac{49}{110}154×144421×2557=711049
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