Simplify (25–√+37–√)2 . Show your work. Justify each step.

Answer 1

To simplify (25–√+37–√)2, we need to expand the expression using the distributive property.

(25–√+37–√)2

= (25 + 37 - 2√)2
= (62 - 2√)2

Next, we can expand the expression by squaring each term:

= (62 - 2√)(62 - 2√)
= 62*62 - 2(62)(2√) - 2(62)(2√) + 4√√
= 3844 - 248√ + 4√√

Since √√ is just √(√) = √2, the final simplified expression is:

3844 - 248√ + 4√2