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If sqrt3 of x = 3

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If sqrt3 of x = 3 [#permalink] New post 02 Mar 2018, 15:41
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If \(\sqrt[3]{x} = 3\) and \(x = \sqrt{y}\), what is the value of \(y\)?

enter your value



[Reveal] Spoiler: OA
729

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Re: If sqrt3 of x = 3 [#permalink] New post 02 Mar 2018, 15:45
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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 \(27^2 = 729\).
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Re: If sqrt3 of x = 3 [#permalink] New post 03 Mar 2018, 09:53
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Carcass wrote:
If \(\sqrt[3]{x} = 3\) and \(x = \sqrt{y}\), what is the value of x?

enter your value



[Reveal] Spoiler: OA
729



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
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Re: If sqrt3 of x = 3 [#permalink] New post 03 Mar 2018, 19:52
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Carcass wrote:
If \(\sqrt[3]{x} = 3\) and \(x = \sqrt{y}\), what is the value of x?

enter your value



[Reveal] Spoiler: OA
729


the answer should be 27 NOT 729, please check it out. since the stem asks value of x NOT y.

OR you just ask y NOT x
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Re: If sqrt3 of x = 3 [#permalink] New post 05 Mar 2018, 14:04
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Sorry guys. My fault. You are perfectly right. The question asks for the value of Y.

Thank you for pointing out.

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Re: If sqrt3 of x = 3   [#permalink] 05 Mar 2018, 14:04
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