171/3 is the same as the cube root of 17. True or False
False
If 171/3 * 171/3 * 171/3 = 17, then the answer is true
Cube root of a number is the number that when multiplied by itself 2 times gives you the first number. For example, 2 is the cube root of 8, because 2*2*2 = 8. 3 is the cube root of 27, because 3*3*3 = 27.
Yes to all that whpalmer4 laid out for you. And besides, the cube root of 17 is 2.5712815906582353554531872087397
\[\frac{ 171 }{ 3 }=57\] \[\sqrt[3]{17}\approx \pm2.57 \]
wait this question was wrong ... its |dw:1370573807036:dw|
Yes it is, just as 7^(1/2) is the same as sqrt(7)
Er scratch that. Sorry, it isn't the same as the cube root of 17, it IS the same as the cube root of 7!
so its false ?
\[7^{1/3} \ne \sqrt[3]{17} \]
Yes, it it false. Providing that the question was "is 171/3 the same as the cube root of 7.
no, cube root of 17 not 7
Maybe this will clear things up: \[\sqrt[3]{x} = x^{1/3}\]
cube root is the same as raising to the 1/3 power
square root is the same as raising to the 1/2 power
\[\sqrt[3]{17} = 17^{1/3}\]
No, I think you've been writing it wrong all down the line. You first wrote 171/3 then you wrote \[7^{1/3}\] And I think what you MEAN is \[17^{1/3}\] And yes, \[17^{1/3} = \sqrt[3]{17}\]
it really, really makes life much simpler if you tell us the problem accurately :-)
its 7 ^ 1/3
The takeaway here is that a cube root (square root sign with a 3 in the crook) is the same as raising the number to the 1/3 power. Use that knowledge to answer your problem, whatever it is.
It's been said before, but explicitly, x to a 1/n power is the same thing as the nth root of x.
okay so i did it and its false :) right
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