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

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

Grade:11

1 Answers

Manas Satish Bedmutha
22 Points
8 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

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