Hiya.(adsbygoogle = window.adsbygoogle || []).push({});

I got to an interesting bit in a calculus book, but as usual I'm stumped by a (probably simple) algebraic step.

The author goes from:

[tex](ds)^2=(dx)^2+(dy)^2[/tex]

to:

[tex]ds=\sqrt{1+\left(\frac{dy}{dx}\right)^2}dx[/tex]

I understand moving the square root across, but I don't understand how the right hand side in the first equation turns into what is under the square root in the second equation.

I hope someone can help. Cheers.

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# Algebraic manipulation of sum of squares.

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