Evaluate (( square root of 144)/(15-9)+4^2)+( square root of 25- square root of 1)^2

$(\frac{\sqrt{144}}{15 - 9} + 4^{2}) + {(\sqrt{25} - \sqrt{1})}^{2}$

Simplify each term.

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Simplify the numerator.

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Rewrite $144$ as $12^{2}$ .

$\frac{\sqrt{12^{2}}}{15 - 9} + 4^{2} + {(\sqrt{25} - \sqrt{1})}^{2}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{12}{15 - 9} + 4^{2} + {(\sqrt{25} - \sqrt{1})}^{2}$

Subtract $9$ from $15$ .

$\frac{12}{6} + 4^{2} + {(\sqrt{25} - \sqrt{1})}^{2}$

Divide $12$ by $6$ .

$2 + 4^{2} + {(\sqrt{25} - \sqrt{1})}^{2}$

Raise $4$ to the power of $2$ .

$2 + 16 + {(\sqrt{25} - \sqrt{1})}^{2}$

Simplify each term.

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Rewrite $25$ as $5^{2}$ .

$2 + 16 + {(\sqrt{5^{2}} - \sqrt{1})}^{2}$

Pull terms out from under the radical, assuming positive real numbers.

$2 + 16 + {(5 - \sqrt{1})}^{2}$

Any root of $1$ is $1$ .

$2 + 16 + {(5 - 1 \cdot 1)}^{2}$

Multiply $- 1$ by $1$ .

$2 + 16 + {(5 - 1)}^{2}$

Subtract $1$ from $5$ .

$2 + 16 + 4^{2}$

Raise $4$ to the power of $2$ .

$2 + 16 + 16$

Simplify by adding numbers.

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Add $2$ and $16$ .

$18 + 16$

Add $18$ and $16$ .

$34$

Evaluate (( square root of 144)/(15-9)+4^2)+( square root of 25- square root of 1)^2

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