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# If sqrt3 of x = 3

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If sqrt3 of x = 3 [#permalink]  02 Mar 2018, 15:41
Expert's post
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Question Stats:

100% (00:09) correct 0% (00:00) wrong based on 2 sessions
If $$\sqrt[3]{x} = 3$$ and $$x = \sqrt{y}$$, what is the value of $$y$$?

[Reveal] Spoiler: OA
729

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Re: If sqrt3 of x = 3 [#permalink]  02 Mar 2018, 15:45
Expert's post
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]  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?

[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]  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?

[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]  05 Mar 2018, 14:04
Expert's post
Sorry guys. My fault. You are perfectly right. The question asks for the value of Y.

Thank you for pointing out.

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