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Finding Square Root by Long Division Method

Find the squa...

Question

Find the square root of :
$4 + 25 x^{2} - 12 x - 24 x^{3} + 16 x^{4}$

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Solution

So, $\sqrt{4 + 25 x^{2} - 12 x - 24 x^{3} + 16 x^{4}} = 4 x^{2} - 3 x + 2$

Hence, the square root is $4 x^{2} - 3 x + 2$

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