How does this simplification work?

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    Algebra 2 Work
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The discussion focuses on the simplification of the expression \(\sqrt{x^2 + x}\). The key step involves factoring out the common term \(x^2\), leading to the expression \(\sqrt{x^2(1 + \frac{1}{x})}\). This method demonstrates how to simplify square roots by identifying and extracting common factors. Participants confirmed their understanding and ability to proceed with the simplification after this clarification.

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rishi kesh
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Please check the image below. My algebra is bit rusty. Please explain the second step where the common factor is taken out.
1513701490469-874305.jpg
 

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##\sqrt{x^2 + x} = \sqrt{x^2 + \frac{x^2}x} = \sqrt{x^2(1 + \frac 1 x)}##
Can you work out the rest?
 
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Mark44 said:
##\sqrt{x^2 + x} = \sqrt{x^2 + \frac{x^2}x} = \sqrt{x^2(1 + \frac 1 x)}##
Can you work out the rest?
That really helped.i know how to do rest.thanks:D
 
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