if √5=2.2360 then find the value of (7+3√2)/(3+√5)-(7-3√5)/(3-√5).
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vSteps used:
1) We will calculate no. of 2x2 quad in case of 3x3, 4x4,5x5,..
matrix .
Results : No. of quads of 2x2 :
In 3x3 matrix = 4
In 4x4 matrix = 9
In 5x5 matrix =16 .
Now, for N x N , we can say No. of 2x2 quads will be
(N-1)*(N-1) .
Similarly, we can find series in case of trace of matrices .
Then , we will generalize it for N x N matrix . F
For more details, refer to pics attached .
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