Question

racionalize os radicais

a) √2.√3.√8=

b) (√2)¹⁶

c) (3√2)²

d) √√2⁸​

Answer 1

Explicação passo-a-passo:

$a) \sqrt{2} . \sqrt{3} . \sqrt{8} = \sqrt{2.3.8} = \sqrt{48}$

$b( \sqrt{2} ) {}^{16} = 2 {}^{ \frac{16}{2} } = 2 {}^{8}$

$c)(3 \sqrt{2} ) {}^{2} = 3 {}^{2} .( \sqrt{2} ) {}^{2} = 9.2 = 18$

$d) \sqrt{ \sqrt{2 {}^{8} } } = \sqrt[4]{2 {}^{8} } = 2 {}^{ \frac{8}{4} } = 2 {}^{2} = 4$