Grade 12th passAlgebra
Find out the square root : (2+i√(a^2-4)) ...........?...............
1 Answer
Param
whenever such question arises we need to find the perfect square of certain form... below is the technique and solution how to solve such kind of questions.
L.H.S = 2+i
=
(trying to make perfect square)
=![\frac{\sqrt{(a+2)}^{2}+[\sqrt{(a-2)}(i)]^{2}+2\sqrt{(a+2)}\sqrt{(a-2)}i}{2}](https://latex.codecogs.com/gif.latex?%5Cfrac%7B%5Csqrt%7B%28a+2%29%7D%5E%7B2%7D+%5B%5Csqrt%7B%28a-2%29%7D%28i%29%5D%5E%7B2%7D+2%5Csqrt%7B%28a+2%29%7D%5Csqrt%7B%28a-2%29%7Di%7D%7B2%7D)
=![\frac{[\sqrt{(a+2)}+(i)\sqrt{(a-2)}]^{2}}{2}](https://latex.codecogs.com/gif.latex?%5Cfrac%7B%5B%5Csqrt%7B%28a+2%29%7D+%28i%29%5Csqrt%7B%28a-2%29%7D%5D%5E%7B2%7D%7D%7B2%7D)
to find the square root of this==>
=![\sqrt{}\frac{[\sqrt{(a+2)}+(i)\sqrt{(a-2)}]^{2}}{2}](https://latex.codecogs.com/gif.latex?%5Csqrt%7B%7D%5Cfrac%7B%5B%5Csqrt%7B%28a+2%29%7D+%28i%29%5Csqrt%7B%28a-2%29%7D%5D%5E%7B2%7D%7D%7B2%7D)
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