Determine the square root of the polynomial: $25 (x^{2} + 1)^{6}$

∣ ∣ 5 (x^{2} + 1)^{3} ∣ ∣

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5 (x^{2} + 1)^{3}

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5 ∣ ∣ (x^{2} + 1)^{2} ∣ ∣

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5 ∣ ∣ (x^{2} + 1)^{3} ∣ ∣

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Solution

The correct option is C $5 ∣ ∣ (x^{2} + 1)^{3} ∣ ∣$
$\sqrt{25 (x^{2} + 1)^{6}}$
$=$ $\sqrt{5 (x^{2} + 1)^{3})^{2}}$
$=$ $5 ∣ ∣ (x^{2} + 1)^{3} ∣ ∣$

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