Question

simplifique raiz de


$\sqrt[3]{54} \\ \\ \sqrt[5]{352} \\ \\ \sqrt[3]{384}$

Answer 1

a) (3^)√54 = (3^)√2 . 3³ --- (cortam-se os expoentes) --- = 3(3^)√2

b) (5^)√352 = (5^)√2^5 . 11 --- (cortam-se os expoentes) --- = 2(5^)√11

c) (3^)√384 = (3^)√2^7 . 3 --- (cortam-se os expoentes) --- = 2(3^)√2.3= 4(3^)√6

Espero ter ajudado. ;-;

Answer 2

$\sqrt[3]{54} \\ |54| 2 \\ |27| 3 \\ |9 \: \: | 3 \\ |3 \: \: | 3 \\ |1 \: \: | \\ 3 \sqrt[3]{2}$

$\sqrt[5]{352} \\ |352| 2 \\ |176| 2 \\ |88 | 2 \\ |44| 2 \\ |22 |2 \\ |11| 11 \\ |1| \\ 2\sqrt[5]{11}$

$\sqrt[3]{384} \\ |384| 2 \\ |192| 2 \\ |96| 2 \\ |48 | 2 \\ |24 | 2 \\ |12|2 \\ |6|2 \\ |3|3 \\ |1| \\ 4\sqrt[3]{6}$