How does this simplification work?

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The discussion focuses on simplifying the expression √(x² + x) by factoring out the common term. The key step involves rewriting x as x²/x, leading to the expression √(x²(1 + 1/x)). Participants confirm their understanding of this simplification and express gratitude for the clarification. The thread concludes with one user stating they can now complete the problem. Overall, the conversation effectively aids in understanding algebraic simplification techniques.
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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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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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