Question

Fatore os radicando e extraia a raiz de:

a)10√1024

b)6√729

c)7√128

d)4√625

Answer 1

a) $10 \sqrt{1024} = 10 \sqrt{ 2^{10} } = 10. 2^{5} = 10.32 = 320$

b) $6 \sqrt{729} = 6 \sqrt{ 3^{6} } = 6. 3^{3} = 6.27 = 162$

c) $7 \sqrt{128} = 7 \sqrt{ 2^{7} } = 7. 2^{3} \sqrt{2} = 7.8 \sqrt{2} = 56 \sqrt{2}$

d) $4 \sqrt{625} = 4 \sqrt{ 25^{2} } = 4. 25 = 100$