State true or false
Square root of $x^{4} + 6 x^{3} + 17 x^{2} + 24 x + 16$ is $x^{2} + 3 x + 4$

True

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False

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Solution

The correct option is A True
$(x^{2} + 3 x + 4)^{2} = x^{4} + 9 x^{2} + 16 + 6 x^{3} + 24 x + 8 x^{2}$
$= x^{4} + 6 x^{3} + 17 x^{3} + 24 x + 16$
hence True

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