Problem

Perform the indicated operations and write your result as a single number.
\[
(13-5)^{2}-3 \sqrt{4 \times 2+1}
\]
141
55

Answer

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Answer

The result of the given expression is \(\boxed{55}\)

Steps

Step 1 :Simplify the expression inside the square root: \(4 \times 2 + 1 = 9\)

Step 2 :Simplify the expression inside the parentheses: \((13-5)^{2} = 64\)

Step 3 :Substitute the simplified values back into the original expression: \(64 - 3 \sqrt{9}\)

Step 4 :Simplify the square root: \(\sqrt{9} = 3\)

Step 5 :Substitute the simplified value back into the expression: \(64 - 3 \times 3 = 55\)

Step 6 :The result of the given expression is \(\boxed{55}\)

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