№8
1) 
2) 
3) 
4) 
№9

Первый модуль раскрывается без изменений, а во втором знак меняется на противоположный, поскольку
12\\\sqrt{25}>\sqrt{12}\\5>\sqrt{12}\\5-\sqrt{12}>0\\|5-\sqrt{12}|=5-\sqrt{12}\\\\9<12\\\sqrt{9}<\sqrt{12}\\3<\sqrt{12}\\3-\sqrt{12}<0\\|3-\sqrt{12}|=-(3-\sqrt{12})=\sqrt{12}-3" alt="25>12\\\sqrt{25}>\sqrt{12}\\5>\sqrt{12}\\5-\sqrt{12}>0\\|5-\sqrt{12}|=5-\sqrt{12}\\\\9<12\\\sqrt{9}<\sqrt{12}\\3<\sqrt{12}\\3-\sqrt{12}<0\\|3-\sqrt{12}|=-(3-\sqrt{12})=\sqrt{12}-3" align="absmiddle" class="latex-formula">