Algebra problem - please help?

Comments

• pi-r-squared

  May 2021

  Hi,

  ( 6- √6) (3√2 - 2√3) (4√2 + 3√3) / 6 =

  ( 6- √6) (3√2 - 2√3) (4√2 + 3√3)

  ---------------------------------------------- =

  . . . . . . . . . . 6

  (18√2 - 12√3 - 3√12 + 2√18)(4√2 + 3√3)

  ---------------------------------------------------------- =

  . . . . . . . . . . 6

  (18√2 - 12√3 - 6√3 + 6√2)(4√2 + 3√3)

  ---------------------------------------------------------- =

  . . . . . . . . . . 6

  (24√2 - 18√3)(4√2 + 3√3)

  ------------------------------------- =

  . . . . . . . . 6

  6(4√2 - 3√3)(4√2 + 3√3)

  ------------------------------------- =

  . . . . . . . . 6

  (4√2 - 3√3)(4√2 + 3√3) =

  16(2) + 12√6 - 12√6 - 27 =

  32 - 27 = 5 <==ANSWER

  I hope that helps!! :-)
• jeff-aaron

  May 2021

  ( 6- √6) (3√2 - 2√3) (4√2 + 3√3) / 6

  = (18√2 - 12√3 - 3√12 + 2√18)(4√2 + 3√3) / 6

  = (18√2 - 12√3 - 6√3 + 6√2)(4√2 + 3√3) / 6

  = (24√2 - 18√3)(4√2 + 3√3) / 6

  = (4√2 - 3√3)(4√2 + 3√3)

  = 32 + 12√6 - 12√6 - 27

  = 5
• 99leadpencils

  May 2021

  ( 6- √6) (3√2 - 2√3) (4√2 + 3√3) / 6

  multply second and third brackets.

  You'll get

  ( 6- √6) (12x2 +1√2√3 - 6x3) / 6

  simplify

  ( 6- √6) (24 +1√6 - 18) / 6

  ( 6- √6) (6 +√6) / 6

  remember the rule for multiplying bimonials with the pattern (a - b) (a + b)

  ( 36 - 6) /6

  simplify

  30/6

  =5
• ariel

  May 2021

  = (6- √ 6) (12√ 2*√ 2 - 8√ 3*√ 2 + 9√ 2*√ 3 - 6√ 3*√ 3):6= (6- √ 6) ( 12*2 - 8√6 + 9√6 - 6*3) :6 =

  = (6- √ 6) (24 + √6 - 18 ) : 6 = (6- √ 6) (6+ √ 6) :6= (36 - 6) :6= 30 : 6 = 5

  * - MULTIPLIED

  : - DIVIDED

  hope it is correct