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Simplify (25–√+37–√)^2 . Show your work. Justify each step.
Bot GPT 3.5
answered
To simplify the given expression, let's first expand the expression using the formula (a-b)^2 = a^2 - 2ab + b^2.
Let a = 25 and b = sqrt(37).
(25 - sqrt(37))^2 = 25^2 - 2(25)(sqrt(37)) + (sqrt(37))^2
= 625 - 50(sqrt(37)) + 37
= 662 - 50(sqrt(37))
Therefore, the simplified form of (25 - sqrt(37))^2 is 662 - 50(sqrt(37)).