Question

me ajudem plisssss urgente

escreva na forma mais simples possível ​

Answer 1

a)

$\sqrt{3} +5\sqrt{3+1} \\\sqrt{3} +5\sqrt{4}\\\sqrt{3} +5*2\\\sqrt{3}+10$

b) aqui vamos simplificar cada raiz

$6\sqrt{8} \\6\sqrt{2^{2}*2 } \\6\sqrt{2^{2} } \sqrt{2} \\6*2\sqrt{2} \\12\sqrt{2}$

$\sqrt{32} \\\sqrt{4^{2}*2 } \\\sqrt{4^{2} \sqrt{2}$

$4\sqrt{2}$

$-2\sqrt{50}\\-2\sqrt{5^{2}*2}\\-2\sqrt{5^{2}}\sqrt{2} \\-2*5\sqrt{2}\\-10\sqrt{2}$

Por fim

$12\sqrt{2} +4\sqrt{2} -10\sqrt{2} \\(12+4-10)\sqrt{2} \\6\sqrt{2}$

c) Novamente, simplificaremos cada fator

$\sqrt{108} \\\sqrt{6^{2}*3 } \\\sqrt{6^{2}} \sqrt{3} \\6\sqrt{3}$

$\sqrt{27} \\\sqrt{3^{2}*3 } \\\sqrt{3^{2} } \sqrt{3} \\3\sqrt{3}$

$-2\sqrt{75} \\-2\sqrt{5^{2}*3 } \\-2\sqrt{5^{2} } \sqrt{3} \\-2*5\sqrt{3} \\-10\sqrt{3}$

Sendo assim

$6\sqrt{3} +3\sqrt{3} -10\sqrt{3} +2\sqrt{3} \\(6+3-10+2)\sqrt{3} \\\sqrt{3}$