Answer: 10√6
Step-by-step explanation:
=5√24 + 4√54 - 3√96
= 5(2)√6 + 4(3)√6- 3(4)√6
=10√6
Answer:
[tex]10\sqrt{6}[/tex]
Step-by-step explanation:
[tex]5\sqrt{24}+4\sqrt{54}-3\sqrt{96}\\ \sqrt{24}=\sqrt{2*2*2*3}=2\sqrt{6}\\ 5\sqrt{24}=5*2\sqrt{6}=10\sqrt{6}\\\\\\ \sqrt{54}=\sqrt{2*3*3*3}=3\sqrt{6}\\\\ 4\sqrt{54}=4*3\sqrt{6}=12\sqrt{6}\\ \\ \\\sqrt{96}=\sqrt{2*2*2*2*2*3}=4\sqrt{6}\\ 3\sqrt{96}=3*4\sqrt{6}=12\sqrt{6}\\\\10\sqrt{6}+12\sqrt{6}-12\sqrt{6}\\ 10\sqrt{6}[/tex]
