sqrt{5^{2} times 14 - 6 times 7 + (4)^{?}} = | vedclass

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(D) Given equation: $\sqrt{5^{2} 	imes 14 - 6 	imes 7 + (4)^{?}} = 18$Squaring both sides:$5^{2} 	imes 14 - 6 	imes 7 + (4)^{?} = (18)^{2}$Calcula

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None of these

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(D) Given equation: $\sqrt{5^{2} 	imes 14 - 6 	imes 7 + (4)^{?}} = 18$Squaring both sides:$5^{2} 	imes 14 - 6 	imes 7 + (4)^{?} = (18)^{2}$Calculating the values:$25 	imes 14 - 42 + (4)^{?} = 324$$350 - 42 + (4)^{?} = 324$$308 + (4)^{?} = 324$Isolating the term with the unknown:$(4)^{?} = 324 - 308$$(4)^{?} = 16$Expressing $16$ as a power of $4$:$(4)^{?} = 4^{2}$Therefore,$? = 2$. Since $2$ is not among the options $A, B, C$,the correct answer is $D$.

$\sqrt{5^{2} \times 14 - 6 \times 7 + (4)^{?}} = 18$

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