Radicals

[sistdm78]

I am having trouble figuring out a math problem it is ³?729/343
This is what I have so far but I am unsure where to go from here if this is the correct path to take
729= 3, 243; 9, 81; 1, 729
343=1, 343; 7, 49

 

[galactus]

Is this what you mean?:

$\displaystyle \sqrt[3]{\frac{729}{343}}$

If so, what is $\displaystyle 9^{3}$ and $\displaystyle 7^{3}$?.

 

[sistdm78]

Yes that is correct.
729 and 343

 

[sistdm78]

So would the answer be 9 over 7?

 

[Deleted member 4993]

Is this wat you mean?:

Cody - you are talking "text" these days ???!!! :lol: :lol: :lol:

 

[galactus]

No, that was a typo. You know me. For heaven's sake, no 'text' speak.

 

[lookagain]

I am having trouble figuring out a math problem it is ³?729/343.

When you type out horizontally, put grouping symbols, such as parentheses, then make it look similar to $\displaystyle \sqrt[3](729/343).$

Otherwise, from the order of operations, what you have typed is equivalent to: $\displaystyle \frac{\sqrt[3]{729}}{343}$,
but that is not what you wanted.

Another example:

$\displaystyle \sqrt 2/3 = \frac {\sqrt{2}}{3}$

and $\displaystyle \sqrt(2/3) = \ \ \sqrt \frac{2}{3}.$

 

[Deleted member 4993]

I am having trouble figuring out a math problem it is ³?729/343.

When you type out horizontally, put grouping symbols, such as parentheses, then make it look similar to $\displaystyle \sqrt[3](729/343).$

Otherwise, from the order of operations, what you have typed is equivalent to: $\displaystyle \frac{\sqrt[3]{729}}{343}$,
but that is not what you wanted.

Another example:

$\displaystyle \sqrt 2/3 = \frac {\sqrt{2}}{3}$

and $\displaystyle \sqrt(2/3) = \ \ \sqrt \frac{2}{3}.$

Watch for this one though:

$\displaystyle \sqrt {2/3} \ = \ \sqrt \frac{2}{3}$

 

[BigGlenntheHeavy]

$\displaystyle \sqrt[3]{\frac{729}{343}} \ = \ \bigg(\frac{729}{343}\bigg)^{1/3} \ = \ \bigg(\frac{9^3}{7^3}\bigg)^{1/3} \ = \ \frac{(9^3)^{1/3}}{(7^3)^{1/3}} \ = \ \frac{9}{7}.$