((12^2+5^2)^.5)^3

asked by guest
on Nov 16, 2024 at 11:38 pm



You asked:

Evaluate the expression: (122+52).53{{\left( {12}^{2} + {5}^{2} \right)}^{.5}}^{3}

MathBot Answer:

(122+52).53=2197{{\left( {12}^{2} + {5}^{2} \right)}^{.5}}^{3} = 2197

(122+52).53=(144+52).53=(144+25).53=169.53=169123=133=2197\begin{aligned}{{\left( {12}^{2} + {5}^{2} \right)}^{.5}}^{3}&={{\left( 144 + {5}^{2} \right)}^{.5}}^{3}\\&={{\left( 144 + 25 \right)}^{.5}}^{3}\\&={{169}^{.5}}^{3}\\&={{169}^{\frac{1}{2}}}^{3}\\&={13}^{3}\\&=2197\end{aligned}

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