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Grade 11Algebra

Find the square root of:
a2 + 2x (a2 – x2)1/2.
Please give the solution.

Profile image of aditya kukade
12 Years agoGrade 11
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1 Answer

Profile image of Manas Satish Bedmutha
12 Years ago
Given, a2 + 2x (a2 - x2)1/2
=  a2 - x2 + x2 + 2x (a2 - x2)1/2   (Adding +x2, –x2 so that we get sqrt)
=  ( (a2 - x2)1/2 + x )2
Hence sqrt = (a2 - x2)1/2 + x