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anonymous
 one year ago
Evaluate.
^3 sqrt 343 + 3/4 ^3 sqrt 8
anonymous
 one year ago
Evaluate. ^3 sqrt 343 + 3/4 ^3 sqrt 8

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"sqrt" is square root btw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does it look like this \[\bf \sqrt[3]{343}~+~\frac{3}{4} \sqrt[3]{8}\] ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well here is the exponent rule you can use \[\sf \large \sqrt{b^{n}}~=~b^{\frac{1}{n}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i plug that in?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh whoops I made a mistake it should be \[\sf \large \sqrt[n]{b}~=~b^{\frac{1}{n}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what do i do with the 3/4 just add it at the end?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\sqrt[3]{343}+\dfrac{3}{4}\sqrt[3]{8\color{white}{\large}}\) you know that (8)=(2)³ \(\sqrt[3]{343}+\dfrac{3}{4}\sqrt[3]{(2)^3\color{white}{\large} }\) you can cancel the powers in the second term and this will give you a 2. Note: You can do this to cancel the powers  only when they are odd, because if they are even you would get an absolute value of 2 and might make a mistake (since with even powers that is equivalent to 2, not 2). \(\sqrt[3]{343}+\dfrac{3}{4}\sqrt[\cancel3]{(2)^{\cancel 3}\color{white}{\large} }\) \(\sqrt[3]{343}+\dfrac{3}{4}(2) \)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0then, 343 = 7³ so you can rewrite the 343, and then cancel the powers just the same way I have done it with the second term of your expression.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 5 3/4 but, a. 5 1/2 b. 5 1/2 c. 8 1/2 @SolomonZelman

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0what did you get for the \(\sqrt[3]{343}\) part, what was this part equivalent to?
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