Ce este (4 + 4sqrt3) / (2sqrt2 + sqrt3)?

Ce este (4 + 4sqrt3) / (2sqrt2 + sqrt3)?
Anonim

Răspuns:

# (2 sqrt 2 + 2 sqrt 6-sqrt 3-3) / (1 1/4) #

Explicaţie:

# (4 + 4 sqrt 3) / (2 sqrt 2 + sqrt 3) #

= (anulați 4 ^ 2 (1 + sqrt3)) / (cancel2 ^ 1 (sqrt 2 + 1/2 sqrt 3)) #

(2 + 1/2 sqrt3) xx (sqrt 2-1 / 2 sqrt3) / (sqrt 2-1 / 2 sqrt3) #

#:. = (2 sqrt 2 + 2 sqrt 2 sqrt 3-sqrt 3-3) / (1 1/4) #

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Verifica:-

# (4 + 4 sqrt 3) / (2 sqrt 2 + sqrt 3) #

#:.=10.92820323/4.560477932=2.396284642#

#:. = (2 sqrt 2 + 2 sqrt 2 sqrt 3-sqrt 3-3) / (1 1/4) #

#:.=2.995355803/1.25=2.396284642#