Question

11-Calcule o valor das expressões

12-(ACAFE-SC) Se x= √3 e y=√12+√243-2√27, então:

13- Racionalize as expressões

Answer 1

resposta

$11)a) \sqrt{ {81}^{3} } + \sqrt{ {27}^{2} } + 1 \\ \sqrt{531441} + \sqrt[3]{19683} + 1 \\ \sqrt{ {3}^{12} } + \sqrt[3]{ {3}^{9} } + 1 \\ {3}^{6} + {3}^{3} + 1 \\ {3}^{9} + 1 \\ 19683 = 19684$

$b) {( \sqrt[3]{125} + \sqrt{49} + \sqrt{343} )}^{2} \\ {(5 + 7 + 7 \sqrt{7}) }^{2} \\ {(19 \sqrt{7} )}^{2} \\ 2527$

$c)(3 \sqrt{2} + 7 \sqrt{2} + 15 \sqrt{2}) \div (2 \sqrt{2} + 3 \sqrt{2} \\ 25 \sqrt{2} \div 15 \sqrt{2} \\ \frac{5 \sqrt{2} }{3 \sqrt{2} }$

$d) \frac{1}{3} + \frac{1}{5} + \frac{2}{1} + \frac{5 + 3 + 30}{15} \\ \frac{38}{15}$

$12)a)2 \sqrt{3} + 9\sqrt{3} - 6 \sqrt{3} = \sqrt{3} \\ 5 \sqrt{3} = \sqrt{3}$

$b)5 \sqrt{3} = 5 \sqrt{3}$

$c)5 \sqrt{3} = 7 \sqrt{3}$

$d)5 \sqrt{3} = 8 \sqrt{3}$

$e)5 \sqrt{3} = 17$

$13)a) \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \frac{6 \sqrt{3} }{3}$

$\frac{2 \sqrt{2} }{3 \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \frac{2 \sqrt{10} }{3 \times 5} \\ \frac{2 \sqrt{10} }{15}$

$espero \: ter \: ajudado \: bons \: estudos$