Question

racionalize

4-√8 + √2+2

--------- --------

-2-√2 + -√8+4

Answer 1

Resposta:

Explicação passo-a-passo:

4-√8 + √2+2

--------- --------

-2-√2 + -√8+4

(4-√8)/(-√2-2)

+

(√2+2)/(-√8+4)

(4-√8)/(-2-√2) . (-2+√2)/(-2+√2)

(+)

(√2+2)/(4-√8) . (4+√8)/(4 +√8)

= (4-√8).(-2+ √2)

= -8 + 4\/2+2\/8 - √16

= - 8 + 4\/2 + 2.\/4.\/2 - 4

= - 8 + 4\/2 + 2.2.\/2 - 4

= - 12 + 4√2 + 4√2

= 8√2 - 12

= (-2-√2) . (-2+√2)

= 4 - 2\/2 + 2\/2 - 2

= 2

= (√2+2) . (4+√8)

= 4√2 + \/16 + 8 + 2√8

= 4\/2 + 4 + 8 + 2\/4.\/2

= 4\/2 + 12 + 2.2.\/2

= 4\/2 + 12 + 4\/2

= 8\/2 + 12

= (4 - √8) . (4 +√8)

= 16 + 4\/8 - 4\/8 - 8

= 8

= (8√2 - 12)/2 + (8\/2 + 12)/8

= 4\/2 - 6 + \/2 + 12/8 (:4)/(:4)

= 5\/2 - 6 + 3/2

= (2.5\/2 - 2.6 + 3)/2

= (10\/2 - 12 + 3)/2

= (10\/2 - 9)/2