Question

Quanto é raiz de 3 + raiz de 5 sobre raiz de 5???

Answer 1

x = raiz (3/5) + raiz(5/3)x^2 = 3/5 + 2 . raiz (3/5) . raiz(5/3) + 5/3x^2 = 3/5 + 2 . raiz(3/5 . 5/3) + 5/3x^2 = 3/5 + 2 . raiz(1) + 5/3x^2 = 3/5 + 2 . 1 + 5/3x^2 = 3/5 + 2 + 5/3 ------> tira o mmc15x^2/15 = 9/15 + 30/15 + 25/1515x^2 = 9 + 30 + 2515x^2 = 64x^2 = 64/15x = raiz(64/15)x = raiz(64)/raiz(15)x = 8/raiz(15)Racionalizandox = 8/raiz(15) . raiz(15)/raiz(15)x = 8 . raiz(15)/15

Answer 2

√3 + √5/√5 
√5.3 +5/5
(√5 + √3) √5 / √5.√5
5 + √15/5
Espero ter ajudado