Question

quando possivel, simplifique os numeros irracionais que estao nos radicais a seguir. .a)$\sqrt[3]{250}$= .b)$\sqrt{1875}$= .c)$\sqrt[5]{192}$= .d)7$\sqrt[3]{250}$= .e)$\sqrt[6]{7^{2} X 2^{3} }$= .f)$\sqrt[15]{11^{6} X 2^{9} }$= .g)$\sqrt[6]{320}$= .h)$\sqrt[4]{1296}$=

Answer 1

Oie, Td Bom?!

a)

$\sqrt[3]{250}$

$\sqrt[3]{5 {}^{3} \times 2}$

$\sqrt[3]{5 {}^{3} } \sqrt[3]{2}$

$5 \sqrt[3]{2}$

b)

$\sqrt{1875}$

$\sqrt{25 {}^{2} \times 3}$

$\sqrt{25 {}^{2} } \sqrt{3}$

$25 \sqrt{3}$

c)

$\sqrt[5]{192}$

$\sqrt[5]{2 {}^{5} \times 6 }$

$\sqrt[5]{2 {}^{5} } \sqrt[5]{6}$

$2 \sqrt[5]{6}$

d)

$7\sqrt[3]{250}$

$7 \sqrt[3]{5 {}^{3} \times 2 }$

$7 \sqrt[3]{5 {}^{3} } \sqrt[3]{2}$

$7 \times 5 \sqrt[3]{2}$

$35 \sqrt[5]{2}$

e)

$\sqrt[6]{7 {}^{2} \times 2 {}^{3} }$

$\sqrt[6]{49 \times 8}$

$\sqrt[6]{392}$

f)

$\sqrt[15]{11 {}^{6} \times 2 {}^{9} }$

$\sqrt[15]{2 {}^{3} \times 22 {}^{6} }$

$\sqrt[15]{8 \times 113379904}$

$\sqrt[15]{907039232}$

g)

$\sqrt[6]{320}$

$\sqrt[6]{2 {}^{6} \times 5}$

$\sqrt[6]{2 {}^{6} } \sqrt[6]{5}$

$2 \sqrt[6]{5}$

h)

$\sqrt[4]{1296}$

$\sqrt[4]{6 {}^{4} }$

$6$

Att. Makaveli1996