Question

8£®¼ÆËã
£¨1£©$\sqrt{8}$¡Á$\sqrt{2}$-3
£¨2£©£¨$\sqrt{7}$+$\sqrt{3}$£©£¨$\sqrt{3}$-$\sqrt{7}$£©-$\sqrt{16}$
£¨3£©$\sqrt{50}$+$\sqrt{\frac{1}{2}}$-$\sqrt{72}$
£¨4£©£¨3$\sqrt{12}$-2$\sqrt{\frac{1}{3}}$+$\sqrt{48}$£©¡Â2$\sqrt{3}$£®

Answer 1

·ÖÎö £¨1£©Ê×ÏÈÀûÓöþ´Î¸ùʽµÄ³Ë·¨·¨Ôò¼ÆË㣬Ȼºó½øÐмõ·¨¼ÆË㣻
£¨2£©Ê×ÏÈÀûÓÃƽ·½²î¹«Ê½¼ÆË㣬»¯¼ò¶þ´Î¸ùʽ£¬È»ºó½øÐмӼõ¼´¿É£»
£¨3£©Ê×ÏȶԶþ´Î¸ùʽ½øÐл¯¼ò£¬È»ºóºÏ²¢Í¬Àà¶þ´Î¸ùʽ¼´¿É£»
£¨4£©Ê×ÏȶԶþ´Î¸ùʽ½øÐл¯¼ò£¬È»ºó¶ÔÀ¨ºÅÄڵĸùʽºÏ²¢Í¬Àà¶þ´Î¸ùʽ£¬È»ºó½øÐгý·¨¼ÆËã¼´¿É£®

½â´ð ½â£º£¨1£©Ô­Ê½=$\sqrt{16}$-3=4-3=1£»
£¨2£©Ô­Ê½=3-7-4=-8£»
£¨3£©Ô­Ê½=5$\sqrt{2}$+$\frac{\sqrt{2}}{2}$-6$\sqrt{2}$=-$\frac{\sqrt{2}}{2}$£»
£¨4£©Ô­Ê½=£¨6$\sqrt{3}$-$\frac{2\sqrt{3}}{3}$+4$\sqrt{3}$£©¡Â2$\sqrt{3}$
=$\frac{28\sqrt{3}}{3}$¡Â2$\sqrt{3}$
=$\frac{14}{3}$£®

µãÆÀ ±¾Ì⿼²éÁ˶þ´Î¸ùʽµÄ»ìºÏÔËË㣬ÕýÈ·¶Ô¶þ´Î¸ùʽ½øÐл¯¼òÊǹؼü£®