Question

2-escreva as expressoes por meio de um unico radical

a) √7·√12·√3
b)⁴√10·⁴√2·⁴√9
c) ⁷√13
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⁷√9
d)¹⁰√5 ·¹⁰√20
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¹⁰√4

Answer 1

a) $\sqrt{252}$. Pois $\sqrt{7} \times \sqrt{12} \times \sqrt{3} = \sqrt{7 \times 12 \times 3} = \sqrt{252}$

b) $\sqrt[4]{180}$. Pois $\sqrt[4]{10} \times \sqrt[4]{2} \times \sqrt[4]{9} = \sqrt[4]{10 \times 2 \times 9} = \sqrt[4]{180}$

c) $\frac{\sqrt[7]{9}}{\sqrt[7]{13}} = \sqrt[7]{\frac{9}{13}$

d) $\frac{\sqrt[10]{5} \times \sqrt[10]{20}}{\sqrt[10]{4}} = \frac{\sqrt[10]{5 \times 20}}{\sqrt[10]{4}}$

$\frac{\sqrt[10]{100}}{\sqrt[10]{4}} = \sqrt[10]{100 - 4} = \sqrt[10]{96}$