Question

considerado a = √2 e b = √3 qual das expressoes corresponde


√162 - √588 + √450

a) 17a - 14b
b)24a - 17b
c24 - 14b
d)14a - 24b

Answer 1

$\sqrt{162}-\sqrt{588}+\sqrt{450} \\ \sqrt{2\cdot3^4}- \sqrt{2^2\cdot3\cdot7^2}+\sqrt{2\cdot3^2\cdot5^2} \\ \sqrt{3^4\cdot2}- \sqrt{2^2\cdot7^2\cdot3}+\sqrt{3^2\cdot5^2\cdot2} \\ \sqrt{3^4}\cdot \sqrt{2}-\sqrt{2^2}\cdot\sqrt{7^2}\cdot\sqrt{3}+\sqrt{3^2}\cdot\sqrt{5^2}\cdot\sqrt{2}\\ 3^2\cdot \sqrt{2}-2\cdot7\cdot\sqrt{3}+3\cdot5\cdot\sqrt{2}\\ 9\sqrt{2}- 14\sqrt{3}+15\sqrt{2}\\ 9\sqrt{2}+15\sqrt{2}- 14\sqrt{3}\\ 24\sqrt{2}- 14\sqrt{3}\\ 24a- 14b$[tex]

Answer 2

Resposta:

24a-14b

Explicação passo-a-passo: