Question

Usuń niewymierności z mianownika ułamka:
a)3√8+2
--------- <-- jakby co to jest linia ułamkowa xD
3√2

b) 4√125+5
-----------
4√5

c) 3√18+4
-----------
4√2

Answer 1

A)
(3√8 +2)√2/3√2 * √2 = (3√8 * √2 + 2√2)/3 * 2 = (3√16 + 2√2)/6 = (3 * 4 + 2√2)/6 = 
 = (12 + 2√2)/6 = 2(6 + √2)/6 = (6 + √2)/3
b)
√5(4√25 * 5 + 5)/4√5 * √5 = √5(4 * 5√5 + 5)/4 * 5 = √5(20√5 + 5)/20 = 
 = 5√5(4√5 + 1)/20 = √5(4√5 + 1)/4
c)
√2(3√9 * 2 + 4)/4√2 * √2 = √2(3 * 3√2 + 4)/4 * 2 = √2(9√2 + 4)/8 = 
 = (9√2 * √2 + 4√2)/8 = (9 * 2 + 4√2)/8 = (18 + 4√2)/8 = 2(9 + 2√2)/8 = (9 + 2√2)/4

Answer 2

Za chwilkę odpowiem :D