Question

Fatores os Radicandos e Simplifique as Expressões:
a- √45+√20+√80
b- √54+√24-√6
c- √12+3√27-√48+√75

Answer 1

a- √45+√20+√80
$\sqrt{3^2*5} + \sqrt{2^2 * 5} + \sqrt{2^2 * 2^2 * 5}$
$3\sqrt{5} + 2\sqrt{5} + 4\sqrt{5}$
$9\sqrt{5}$

b- √54+√24-√6
$\sqrt{3^2*6} + \sqrt{2^2*6} - \sqrt{6}$
$3\sqrt{6} + 2 \sqrt{6} - \sqrt{6}$
4$\sqrt{6}$

c- √12+3√27-√48+√75
$\sqrt{2^2*3} + 3 \sqrt{3^2*3} - \sqrt{2^2*2^2*3} + \sqrt{3*5^2}$
$2\sqrt{3} + 3*3 \sqrt{3} - 4 \sqrt{3} + 5 \sqrt{3}$
$2\sqrt{3} + 9 \sqrt{3} - 4 \sqrt{3} + 5 \sqrt{3}$
$12 \sqrt{3}$

BONS ESTUDOS