Question

Qual a forma simplificada da :
a) √8 + √98
__________
3√50

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Answer 1

√8 + √98

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3√50

√4.2 + √49.2

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3√25.2

2√2 + 7√2

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3.5√2

9√2 9 3

-------- = ----- = -------

15√2 15 5

Answer 2

Oie, Td Bom?!

$= \frac{ \sqrt{8} + \sqrt{98} }{3 \sqrt{50} }$

• $\sqrt{8} = \sqrt{2 {}^{2} \: . \: 2} = \sqrt{2 {}^{2} } \sqrt{2} = 2 \sqrt{2}$

• $\sqrt{98} = \sqrt{7 {}^{2} \: . \: 2 } = \sqrt{7 {}^{2} } \sqrt{2} = 7 \sqrt{2}$

• $3 \sqrt{50} = 3 \sqrt{5 {}^{2} \: . \: 2} = 3 \sqrt{5 {}^{2} } \sqrt{2} = 3 \: . \: 5 \sqrt{2} = 15 \sqrt{2}$

$= \frac{2 \sqrt{2} + 7 \sqrt{2} }{15 \sqrt{2} }$

$= \frac{(2 + 7) \sqrt{2} }{15 \sqrt{2} }$

$= \frac{9 \sqrt{2} }{15 \sqrt{2} }$

$= \frac{9}{15}$

$= \frac{9 \div 3}{15 \div 3}$

$= \frac{3}{5}$

Att. Makaveli1996