Question

Simplify (6-2√2)(6+2√2)​

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 28}`

Explanation:

→ We want to simplify:

`\sf (6-2√(2) )(6+2√(2))`

◼ Apply the distributive property:

`\sf = 6(6) + 6(2√(2) ) - 2√(2)(6) - 2√(2)(2√(2))`

◼ Simplify the expression:

`\sf = 36 + 12√(2) - 12√(2) - 8`

`\sf = 36 - 8`

`\sf = 28`

Conclusion:

The expression (6-2√2)(6+2√2) is equal to 28.