emersongillamshaffe
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Simplify the expression 2√6 -5√54

Sagot :

Answer:

- 13[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{54}[/tex]

[tex]\sqrt{54}[/tex]

= [tex]\sqrt{9(6)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]

= 3[tex]\sqrt{6}[/tex]

Then

2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]

= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )

= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]

= - 13[tex]\sqrt{6}[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.