Question

valor de raiz quadrada de 2 mais raiz quadrada de 3.1 ais raiz quadrada de 18​

Answer 1

Oie, tudo bom?

$= \sqrt{2} + \sqrt{3.1} + \sqrt{18}$

$= \sqrt{2} + \sqrt{ \frac{31}{10} } + \sqrt{3 {}^{2} \: . \: 2 }$

$= \sqrt{2} + \sqrt{ \frac{31}{10} } + \sqrt{3 {}^{2} } \sqrt{2}$

$= \sqrt{2} + \sqrt{ \frac{31}{10} } + 3 \sqrt{2}$

$= \sqrt{2} + \frac{ \sqrt{31} }{ \sqrt{10} } + 3 \sqrt{2}$

$= \sqrt{2} + \frac{ \sqrt{31} }{ \sqrt{10} } \: . \: \frac{ \sqrt{10} }{ \sqrt{10} } + 3 \sqrt{2}$

$= \sqrt{2} + \frac{ \sqrt{31} \sqrt{10} }{ \sqrt{10} \sqrt{10} } + 3 \sqrt{2}$

$= \sqrt{2} + \frac{ \sqrt{310} }{10} + 3 \sqrt{2}$

$= 1 \sqrt{2} + \frac{ \sqrt{310} }{10} + 3 \sqrt{2}$

$= (1 + 3) \sqrt{2} + \frac{ \sqrt{310} }{10}$

$= 4 \sqrt{2} + \frac{ \sqrt{310} }{10}$

$≈5,65 + 1,76$

$\boxed{≈7,41}$

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