Simplify (6-2√2)(6+2√2)

Question

asked Aug 13, 2024 111k views

1 Answer

Luo Jiong Hui · Answer 1 · 2024-08-19T16:50:06+0000

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.