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sqrt of x^2+2x+1
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04 Apr 2022, 02:00
04 Apr 2022, 02:00
Expert Reply
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Question Stats:
45% (00:39) correct
54% (01:01) wrong based on 66 sessions
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Quantity A |
Quantity B |
\(\sqrt{x^2+2x+1}\) |
\( |x+1|\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: sqrt of x^2+2x+1
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06 Apr 2022, 19:47
06 Apr 2022, 19:47
For any values of \(x\), both the quantities will remain the same.
Qt A = Qt B
Answer \(C\)
Qt A = Qt B
Answer \(C\)
Re: sqrt of x^2+2x+1
[#permalink]
07 Apr 2022, 04:25
07 Apr 2022, 04:25
1
It is known that √x^2 = |x|
Quantity A: √(x^2 + 2x + 1) = √(x+1)^2 = |(x+1)|
Both the quantities are equal.
Key takeaway: √x^2 = |x|
Quantity A: √(x^2 + 2x + 1) = √(x+1)^2 = |(x+1)|
Both the quantities are equal.
Key takeaway: √x^2 = |x|
