Question

simplifique as expressões.

por favor mim ajudem​

Answer 1

Oie, Td Bom?!

a)

$\frac{ \sqrt{40} }{ \sqrt{5} } = \frac{ \sqrt{5} \sqrt{8} }{ \sqrt{5} } = \sqrt{8} = \sqrt{2 {}^{2} \times 2} = \sqrt{2 {}^{2} } \sqrt{2} = 2 \sqrt{2}$

b)

$\sqrt{54} \sqrt{3} = \sqrt{54 \times 3} = \sqrt{162} = \sqrt{9 {}^{2} \times 2} = \sqrt{9 {}^{2} } \sqrt{2} = 9 \sqrt{2}$

c)

$\frac{ \sqrt{486} }{ \sqrt{3} } = \frac{ \sqrt{3} \sqrt{162} }{ \sqrt{3} } = \sqrt{162} = \sqrt{9 {}^{2} \times 2 } = \sqrt{9 {}^{2} } \sqrt{2} = 9 \sqrt{2}$

d)

$\frac{ \sqrt{150} }{ \sqrt{3} } = \frac{ \sqrt{3} \sqrt{50} }{ \sqrt{3} } = \sqrt{50} = \sqrt{5 {}^{2} \times 2 } = \sqrt{5 {}^{2} } \sqrt{2} = 5 \sqrt{2}$

Att. Makaveli1996