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$\sqrt{ 11 ^ { \color{#FF6800}{ 2 } } } + \sqrt{ \left ( - 9 \right ) ^ { 2 } } - \sqrt{ 16 }$

$ $ Organize as the power is written in the radical sign, and the root exponent and the exponent are the same $ $

$\color{#FF6800}{ 11 } + \sqrt{ \left ( - 9 \right ) ^ { 2 } } - \sqrt{ 16 }$

$11 + \sqrt{ \left ( - 9 \right ) ^ { \color{#FF6800}{ 2 } } } - \sqrt{ 16 }$

$ $ Organize as the power is written in the radical sign, and the root exponent and the exponent are the same $ $

$11 + \color{#FF6800}{ 9 } - \sqrt{ 16 }$

$11 + 9 - \sqrt{ \color{#FF6800}{ 16 } }$

$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $

$11 + 9 - \color{#FF6800}{ 4 }$

$\color{#FF6800}{ 11 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$

$ $ Calculate the sum or the difference $ $

$\color{#FF6800}{ 16 }$