Question

simplifique as expressões: raiz 45 + raiz 180 + raiz 125.

Answer 1

Fatorando:
45= $3^{2}*5$
120= $2^{2} * 3^{2} *5$
180= $2^{3} *3*5$

$\sqrt{3^{2}*5} + \sqrt{2^{2} * 3^{2} *5} + \sqrt{2^{3} *3*5}$=

$3 \sqrt{5} +2*3 \sqrt{5} +2 \sqrt{2*3*5} = 3 \sqrt{5} +6 \sqrt{5} +2 \sqrt{30} = 9\sqrt{5} +2 \sqrt{30}$