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Find the distance between the two points in simplest radical form. ( 3 , − 7 ) and ( − 2 , − 2 ) (3,−7) and (−2,−2)

User Anils
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Answer: We can use the distance formula to find the distance between the two points (3, -7) and (-2, -2):

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) = (3, -7) and (x₂, y₂) = (-2, -2)

distance = √[(-2 - 3)² + (-2 - (-7))²]

distance = √[(-5)² + (5)²]

distance = √[25 + 25]

distance = √50

Simplifying the radical, we can factor out a perfect square of 25 from 50:

distance = √(25 x 2)

distance = 5√2

Therefore, the distance between the two points in simplest radical form is 5√2 units.

Explanation:

User Montiniz
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