rainyq123 rainyq123

28-09-2020
Mathematics

contestada

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

Respuesta :

jimrgrant1 jimrgrant1

28-09-2020

Answer:

41

Step-by-step explanation:

Given

(7 + 2[tex]\sqrt{2}[/tex] )(7 - 2[tex]\sqrt{2}[/tex] ) ← expand factors using FOIL

= 7² - 2[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex] - (2[tex]\sqrt{2}[/tex] )² ← collect like terms

= 49 - 8

= 41

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