Finding Square Root of Polynomial Using Factoring :
Here we are going to see some practice questions on finding square root of rational expressions.
(1) Find the square root of the following rational expressions.
(i) 400 x4 y12 z16 / 100 x8 y4 z4 Solution
(ii) (7x2 + 2 √(14)x + 2)/(x2 - x/2 + 1/16) Solution
(iii) 121 (a + b)8 (x + y)8 (b - c)8 Solution
(2) Find the square root of the following
(i) 4x2 + 20x + 25 Solution
(ii) 9x2 −24xy + 30xz −40yz +25z2 +16y2 Solution
(iii) 1 + 1/x6 + 2/x3 Solution
(iv) (4x2 − 9x + 2) (7x2 - 13x - 2) (28x2 - 3x - 1). Solution
(v) (2x2 + (17x/6) + 1)((3/2)x2 + 4x + 2)((4/3)x2 + (11x/3) + 2) Solution
After having gone through the stuff given above, we hope that the students would have understood, "Finding Square Root of Polynomial Using Factoring".
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