Question

simplifique os radicais utilizando a fatoração: a)√45= b)√32= c)√48= d)√125= e)√98= f)√120=

Answer 1

a)
45 / 3
15 / 3
  5 / 5
  1

$\sqrt{3 ^{2}.5 } = 3 \sqrt{5}$

b)
32 / 2
16 / 2
  8 / 2
  4 / 2
  2 / 2
  1

$\sqrt{2 ^{2}.2 ^{2}.2 } = 4 \sqrt{2}$

c)
48 / 2
24 / 2
12 / 2
  6 / 2
  3 / 3
  1

$\sqrt{2 ^{2}.2 ^{2}.3 } = 4 \sqrt{3}$

d)
125 / 5
  25 / 5
    5 / 5
    1

$\sqrt{5 ^{2}.5 } = 5 \sqrt{5}$

e)
98 / 2
49 / 7
  7 / 7
  1

$\sqrt{2 . 7 ^{2} } = 7 \sqrt{2}$

f)
120 / 2
  60 / 2
  30 / 2
  15 / 3
    5 / 5
    1

$\sqrt{2 ^{2} . 2 . 3 . 5 } = 2 \sqrt{30}$