Question

calcule as raízes quadradas abaixo , simplificando quando possível : √225/36. √16/4 √81/36 valendo 68 pontos​

Answer 1

Oie, Td Bom?!

I.

$\sqrt{ \frac{225}{36} } = \sqrt{ \frac{225 \div 9}{36 \div 9} } = \sqrt{ \frac{25}{4} } = \frac{ \sqrt{25} }{ \sqrt{4} } = \frac{ \sqrt{5 {}^{2} } }{ \sqrt{2 {}^{2} } } = \frac{5}{2}$

II.

$\sqrt{ \frac{16}{4} } = \sqrt{ \frac{16 \div 4}{4 \div 4} } = \sqrt{ \frac{4}{1} } = \sqrt{4} = \sqrt{2 {}^{2} } = 2$

III.

$\sqrt{ \frac{81}{36} } = \sqrt{ \frac{81 \div 9}{36 \div 9} } = \sqrt{ \frac{9}{4} } = \frac{ \sqrt{9} }{ \sqrt{4} } = \frac{ \sqrt{ 3{}^{2} } }{ \sqrt{2 {}^{2} } } = \frac{3}{2}$

Att. Makaveli1996