Question

simplifique os radicais seguintes

Answer 1

a)
$\sqrt{18}$
$\sqrt{ {3}^{2} \times 2}$
$\sqrt{ {3}^{2} } \sqrt{2}$
$3 \sqrt{2} = 4.24264$

b)
$\sqrt{54}$
$\sqrt{ {3}^{2} \times 6 }$
$\sqrt{ {3}^{2} } \sqrt{6}$
$3 \sqrt{6} = 7.34847$

c)
$\sqrt[3]{54}$
$\sqrt[3]{ {3}^{3} \times 2 }$
$\sqrt[3]{ {3}^{3} } \sqrt[3]{2}$
$3 \sqrt[3]{2} = 3.77976$

d)
$\sqrt{288}$
$\sqrt{ {12}^{2} \times 2}$
$\sqrt{ {12}^{2} } \sqrt{2}$
$12 \sqrt{2} = 16.97056$

e)
$\sqrt[4]{240}$
$\sqrt[4]{ {2}^{4} \times 15 }$
$\sqrt[4]{ {2}^{4} } \sqrt[4]{15}$
$2 \sqrt[4]{15} = 3.93598$

f)
$\sqrt[3]{ {10}^{12} }$
${10}^{4} = 10000$