Problem

What is the distance between the points A(2, 3) and B(5, 7)?

Answer

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Answer

Finally, add the numbers under the square root to get \(d = \sqrt{25}\)

Steps

Step 1 ：Use the distance formula which is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Step 2 ：Substitute the given values into the formula. So we have \(d = \sqrt{(5 - 2)^2 + (7 - 3)^2}\)

Step 3 ：Simplify the equation to \(d = \sqrt{3^2 + 4^2}\)

Step 4 ：Then, calculate the squares to get \(d = \sqrt{9 + 16}\)

Step 5 ：Finally, add the numbers under the square root to get \(d = \sqrt{25}\)

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