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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

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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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Re: sqrt of x^2+2x+1 [#permalink]
20 Jun 2022, 02:42
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