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Which of the following equations is true for all positive
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29 Oct 2017, 01:37
29 Oct 2017, 01:37
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Question Stats:
36% (01:59) correct
64% (01:13) wrong based on 75 sessions
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Which of the following equations is true for all positive values of x and y?
A. \(\sqrt{x} + \sqrt{y} = \sqrt{x+y}\)
B. \(\sqrt{x^4 y^{16}} = x^2 y^4\)
C. \(( x \sqrt{y} )( y \sqrt{x} ) = x^2 y^2\)
D. \(y \sqrt{x}+ y \sqrt{x} = \sqrt{4 xy^2}\)
E. \(( x^y )( y^y) = (xy)^{2y}\)
Kudos for correct solution.
A. \(\sqrt{x} + \sqrt{y} = \sqrt{x+y}\)
B. \(\sqrt{x^4 y^{16}} = x^2 y^4\)
C. \(( x \sqrt{y} )( y \sqrt{x} ) = x^2 y^2\)
D. \(y \sqrt{x}+ y \sqrt{x} = \sqrt{4 xy^2}\)
E. \(( x^y )( y^y) = (xy)^{2y}\)
Kudos for correct solution.
Show: ::
Re: Which of the following equations is true for all positive
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30 Oct 2017, 08:46
30 Oct 2017, 08:46
1
Let's start checking the correctness of each answer choice:
A) \(\sqrt{x} + \sqrt{y} \neq \sqrt{x+y}\) --> wrong
B) \(\sqrt{x^4y^{16}} = x^2y^8 \neq x^2y^4\) --> wrong
C) \((x\sqrt{y})(y\sqrt{x}) = xy\sqrt{xy} \neq x^2y^2\) --> wrong
D) \(y\sqrt{x} +y\sqrt{x} = \sqrt{4xy^2}\) --> correct
E) \(x^yy^y = (xy)^y \neq (xy)^{2y}\) --> wrong
Answer D
A) \(\sqrt{x} + \sqrt{y} \neq \sqrt{x+y}\) --> wrong
B) \(\sqrt{x^4y^{16}} = x^2y^8 \neq x^2y^4\) --> wrong
C) \((x\sqrt{y})(y\sqrt{x}) = xy\sqrt{xy} \neq x^2y^2\) --> wrong
D) \(y\sqrt{x} +y\sqrt{x} = \sqrt{4xy^2}\) --> correct
E) \(x^yy^y = (xy)^y \neq (xy)^{2y}\) --> wrong
Answer D
Which of the following equations is true for all positive va
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27 Oct 2018, 04:01
27 Oct 2018, 04:01
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Which of the following equations is true for all positive values of x and y?
A. \(\sqrt{x} + \sqrt{y} = \sqrt{x+y}\)
B. \(\sqrt{x^4 y^{16}} = x^2 y^4\)
C. \(( x \sqrt{y} )( y \sqrt{x} ) = x^2 y^2\)
D. \(y \sqrt{x}+ y \sqrt{x} = \sqrt{4 xy^2}\)
E. \(( x^y )( y^y) = (xy)^{2y}\)
A. \(\sqrt{x} + \sqrt{y} = \sqrt{x+y}\)
B. \(\sqrt{x^4 y^{16}} = x^2 y^4\)
C. \(( x \sqrt{y} )( y \sqrt{x} ) = x^2 y^2\)
D. \(y \sqrt{x}+ y \sqrt{x} = \sqrt{4 xy^2}\)
E. \(( x^y )( y^y) = (xy)^{2y}\)
