Question

Simplify as far as possible without a calculator.
(7+2√2)(7−2√2)

Answer 1

Answer:

41

Step-by-step explanation:

Given

(7 + 2$\sqrt{2}$ )(7 - 2$\sqrt{2}$ ) ← expand factors using FOIL

= 7² - 2$\sqrt{2}$ + 2$\sqrt{2}$ - (2$\sqrt{2}$ )² ← collect like terms

= 49 - 8

= 41