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anonymous
 3 years ago
what is the exact value of the expression?
anonymous
 3 years ago
what is the exact value of the expression?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{45}\sqrt{75}+\sqrt{192}\]

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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for the sqrt75 i got sqrt5*7*2

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

anonymous
 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 \[ \large \sqrt{192}=\sqrt{2^6\cdot3}=2^3\cdot\sqrt{3}=8\sqrt{3} \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh okay. i missed a 2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do you add or multiply?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh okay so 6 sqrt 11?

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