A community for students.
Here's the question you clicked on:
 0 viewing
kiamonstaa
 3 years ago
what is the exact value of the expression?
kiamonstaa
 3 years ago
what is the exact value of the expression?

This Question is Closed

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1\[\sqrt{45}\sqrt{75}+\sqrt{192}\]

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1\[ \large \sqrt{45}=\sqrt{5\cdot9}=3\sqrt{5} \]

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1do the same with the other roots.

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1for the sqrt75 i got sqrt5*7*2

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i think \(75=25\times 3\)

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0making \(\sqrt{75}=\sqrt{25\times 3}=\sqrt{25}\times \sqrt{3}=5\sqrt{3}\)

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1now do the same with 192

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1\[ \large \sqrt{192}= \]

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1i got \[ \large \sqrt{192}=\sqrt{2^6\cdot3}=2^3\cdot\sqrt{3}=8\sqrt{3} \]

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1oh okay. i missed a 2

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1so how would i simplify all that?

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1now plug in everything: \[ \large \sqrt{45}\sqrt{75}+\sqrt{192}=3\sqrt{5}5\sqrt{3}+8\sqrt{3} \]

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1now combine like terms.

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1do you add or multiply?

kiamonstaa
 3 years ago
Best ResponseYou've already chosen the best response.1oh okay so 6 sqrt 11?

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.1\[ \large =3\sqrt{5}+3\sqrt{3}=3(\sqrt{5}+\sqrt{3}) \]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.