Se x = 2/(3+2√2) e y = 56/(4-√2), então x+y é?

Comments

• louis-xv

  June 2021

  x = 2/(3 + 2√2)

  x = 2*(3 - 2√2)/(3 + 2√2)*(3 - 2√2)

  x = (6 - 4√2)/(9 - 8) = 6 - 4√2

  y = 56/(4 - √2) = 56*(4 + √2)/(4 - √2)*(4 + √2)

  y = 56*(4 + √2)/(16 - 2) = (56/14) * (4 + √2) = 4 * (4 + √2)

  x + y = 6 - 4√2 + 16 + 4√2 = 22

  pronto
• silvia

  June 2021

  X+Y = 6+12√2 = 22.97