√5²×7²+12²=?
You asked:
Evaluate the expression: \({\sqrt{5}}^{2} \cdot {7}^{2} + {12}^{2}\)
MathBot Answer:
\[{\sqrt{5}}^{2} \cdot {7}^{2} + {12}^{2} = 389\]
\[\begin{aligned}{\sqrt{5}}^{2} \cdot {7}^{2} + {12}^{2}& = \left(\sqrt{5}\right)^{2} \cdot 7^{2} + 12^{2}\\& = 5 \cdot 7^{2} + 12^{2}\\& = 5 \cdot 49 + 12^{2}\\& = 245 + 12^{2}\\& = 245 + 144\\& = 389\end{aligned}\]