Question

racionalize:
3 raiz de 8 - raiz de 18 : 4 raiz de 2

Answer 1

(3√8 - √18) / 4√2 = (3√8 - √18).√2 / 4√2.√2 = (3√8.√2 - √18.√2) / 4√2² = 

= (3√8.2 - √18.2) / 4.2 = (3.√2³.2 - √2.3².2) / 8 =

= (3√2 elevado a 4 - √2².3²) / 8 = (3.2² - 2.3) / 8 = (3.4 - 6) / 8 =

= (12 - 6) / 8 = 6/8 = 3/4