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sqrt of x^2+2x+1

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sqrt of x^2+2x+1 [#permalink] New post   04 Apr 2022, 02:00
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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


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C
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Re: sqrt of x^2+2x+1 [#permalink] New post   06 Apr 2022, 19:47
For any values of \(x\), both the quantities will remain the same.

Qt A = Qt B

Answer \(C\)
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Re: sqrt of x^2+2x+1 [#permalink] New post   07 Apr 2022, 04:25
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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|
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sqrt of x^2+2x+1 [#permalink] New post   31 May 2022, 03:48
The answer shouldn’t b D? Please explain

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Re: sqrt of x^2+2x+1 [#permalink] New post   31 May 2022, 08:53
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Surbhee18 wrote:
The answer shouldn’t b D? Please explain

Thank You
Surbhee


Just the explanation above your reply tells you that the two quantities are equal

Thre is not so much to add the above sir

Posted from my mobile device
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Re: sqrt of x^2+2x+1 [#permalink] New post   20 Jun 2022, 02:42
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You can try any values for \(x\) and both the quantities will remain the same.
Surbhee18 wrote:
The answer shouldn’t b D? Please explain

Thank You
Surbhee
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