Question

Question

Note: 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.

Answer

Answer 1

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

(25–√ + 37–√)² = (25–√ + 37–√)(25–√ + 37–√)

Using the distributive property, we can expand this expression:

= 25(25) - 25(√) - √(25) + √(√) + 37(25) - 37(√) - √(37) + √(√)

= 625 - 25√ - 5√ + √² + 925 - 37√ - 7√ + √²

Now, simplify the expression by combining like terms:

= 625 + 925 - 25√ - 5√ - 37√ - 7√ + √² + √²

= 1550 - 69√ + 2

So, (25–√ + 37–√)² simplifies to 1550 - 69√ + 2.