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If sqrt3 of x = 3
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02 Mar 2018, 15:41
02 Mar 2018, 15:41
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Question Stats:
95% (00:39) correct
5% (00:25) wrong based on 40 sessions
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If \(\sqrt[3]{x} = 3\) and \(x = \sqrt{y}\), what is the value of \(y\)?
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Show: :: OA
729
Re: If sqrt3 of x = 3
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02 Mar 2018, 15:45
02 Mar 2018, 15:45
Expert Reply
Explanation
This is a question you should be aware of the rules of exponents but most of all, you have to use your logic.
Now, for a cube root for being equal to 3, our x must be 27. \(3*3 = 9 *3 =27\). Of course, the inverse process leads us to have x = 27.
The square root of y must have as result our x, which mean our 27. Squaring \(27^2 = 729\).
This is a question you should be aware of the rules of exponents but most of all, you have to use your logic.
Now, for a cube root for being equal to 3, our x must be 27. \(3*3 = 9 *3 =27\). Of course, the inverse process leads us to have x = 27.
The square root of y must have as result our x, which mean our 27. Squaring \(27^2 = 729\).
Re: If sqrt3 of x = 3
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03 Mar 2018, 09:53
03 Mar 2018, 09:53
1
Carcass wrote:
Is there a typo here? Is the questions asking for the value of X or Y?
X would be a number that the cube root is 3 which is 27.
Y would be X squared which 27^2 = 729
