Ajuda??? Radicais >>2<<<?

ariamontgomeryariamontgomery
in Science & Mathematics

(√10 + √6) ² - (√10 - √6) ²

____________________________ =

√45 + √5

Comments

  • ernesto-valienteernesto-valiente

    (a + b)² - (a - b)² = (a² + 2ab + b²) - (a² - 2ab + b²) = 4 ab

    4 sqrt ( 10 * 6 ) = 4 sqrt 60 = 8 sqrt 15

    E = 8 sqrt 15 / ( √45 + √5 ) = 8 √15 * (√45 - √5) / 40 = (15 √3 - 5 √3 ) / 5 =

    = 2 √3

  • -z--z-

    NUMERADOR

    ( V10 + V6)² = ( 10 + 2V10V6 + 6 )

    ( V10 - V6)² = ( 10 - 2V10V6 + 6 )

    10 + 2v60 + 6 - ( 10 - 2v60 + 6)

    10 + 2v60 +6 - 10 + 2v60 - 6 = 4v60 = 8V15 **********

    DENOMINADOR

    V45 = 3V5

    3V5 + 1V5 = 4V5 **************

    8V15/4V5 = 2V3 ************

  • p2p2

    (10+6) - (10-6) 10 10 * 4√5 40√5 40√5 √5

    ____________ = ________= _____________=_____= ______=____

    √45 + √5 3√5+ √5 4√5 *4√5 16*5 80 2

    Espero q vc tenha entendido e q eu tenha ajudado...bjo!!!

  • kerolovecandykerolovecandy

    8√12

    ____

    4√5

  • rckrck

    10 + 6 - 10 - 6

    ____________ = 0

    √45 + √5

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