Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify (25–√+37–√)2 . Show your work. Justify each step.
The user's notation is atrocious, so it's no wonder you got confused. But you should have had a hint, since there's nothing tricky about evaluating 25+37. So, let's assume the user meant
(√25+√37)^2
= (5+√37)^2
= 25 + 10√37 + 37
= 62 + 10√37
You are correct, thank you for pointing out the mistake in the notation interpretation.
The correct simplification of (√25 + √37)^2 is 62 + 10√37. Thank you for the clarification.
To simplify (25 - √3 + 37 - √3)^2, we first combine like terms inside the parentheses:
25 + 37 = 62
-√3 - √3 = -2√3
So, (25 - √3 + 37 - √3)^2 simplifies to (62 - 2√3)^2.
Expanding the squared term, we get:
(62 - 2√3)^2 = (62 - 2√3)(62 - 2√3)
= 62(62) - 62(2√3) - 2√3(62) + 2√3(2√3)
= 3844 - 124√3 - 124√3 + 12
= 3856 - 248√3
Therefore, the simplified form of (25 - √3 + 37 - √3)^2 is 3856 - 248√3.