Question

Simplifique os radicais

Answer 1

Explicação passo-a-passo:

.

$a) \sqrt[6]{k {}^{9} }$

$\sqrt[6 \div 3]{k {}^{9 \div 3} }$

$\sqrt{k {}^{3} }$

$\sqrt{k {}^{2 + 1} }$

$\sqrt{k {}^{2} \times k {}^{1} }$

$\sqrt{k {}^{2} \times k }$

$\sqrt{k {}^{2} } \sqrt{k}$

$\sqrt[2 \div 2]{k {}^{2 \div 2} } \sqrt{k}$

$k \sqrt[]{k}$

.

$b) \sqrt{7 {}^{20} }$

$\sqrt[2 \div 2]{7 {}^{20 \div 2} }$

$7 {}^{10}$

.

$c) \sqrt[3]{27x {}^{6} }$

$\sqrt[3]{27} \sqrt[3]{x {}^{6} }$

$\sqrt[3]{3 {}^{3} } \sqrt[3]{x {}^{6} }$

$\sqrt[3 \div 3]{3 {}^{3 \div 3} } \sqrt[3 \div 3]{x {}^{6 \div 3} }$

$3x {}^{2}$

.

$d) \sqrt{52a}$

$\sqrt{2 {}^{2} \times 13a}$

$\sqrt{2 {}^{2} } \sqrt{13a}$

$\sqrt[2 \div 2]{2 {}^{2 \div 2} } \sqrt{13a}$

$2 \sqrt{13a}$

.

$e) \sqrt{72}$

$\sqrt{6 {}^{2} \times 2}$

$\sqrt{6 {}^{2} } \sqrt{2}$

$\sqrt[2 \div 2]{6 {}^{2 \div 2} } \sqrt{2}$

$6 \sqrt{2}$