Question

reduzir os radicais e efetuar a operaçao√ 8 + √32 + √72- √50

Answer 1

$\sqrt{8} + \sqrt{32} + \sqrt{72} - \sqrt{50} = \\ \\ \sqrt{2.2^2} + \sqrt{2^4.2} + \sqrt{2.2^2.3^2} - \sqrt{2.5^2} = \\ \\ 2 \sqrt{2} +2^2 \sqrt{2} +2.3 \sqrt{2} -5 \sqrt{2} = \\ \\ 2 \sqrt{2} +4 \sqrt{2} +6 \sqrt{2} -5 \sqrt{2} = \\ \\ (2+4+6-5) \sqrt{2} = \\ \\ (12-5) \sqrt{2} = \\ \\ 7 \sqrt{2}$