1) Find the square root of the expression
x²/y2-10x/y+27-10y/x+y2/x2
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By taking L.C.M, we get
(x4 - 10x3y + 27x2y2 - 10xy3+ y4)/x2y2
= √(x4 - 10x3y + 27x2y2 - 10xy3+ y4)/√x2y2

= (x2 - 5xy + y2)/xy
= (x/y) - 5 + (y/x)
Hence the square root of the polynomial (x2/y2) - 10x/y + 27 - (10y/x) + (y2/x2) is (x/y) - 5 + (y/x).
Let us look into the next example on "Finding the Square Root of a Polynomial by Long Division Method".
(x4 - 10x3y + 27x2y2 - 10xy3+ y4)/x2y2
= √(x4 - 10x3y + 27x2y2 - 10xy3+ y4)/√x2y2

= (x2 - 5xy + y2)/xy
= (x/y) - 5 + (y/x)
Hence the square root of the polynomial (x2/y2) - 10x/y + 27 - (10y/x) + (y2/x2) is (x/y) - 5 + (y/x).
Let us look into the next example on "Finding the Square Root of a Polynomial by Long Division Method".
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