Question

qual o valor de

$\sqrt{12} + \sqrt{27} - \sqrt{75}$
​

Answer 1

Resposta:

Explicação passo-a-passo:

$\sqrt{12}=\sqrt{4.3}=2\sqrt{3}\\\\\sqrt{27}=\sqrt{9.3}=3\sqrt{3}\\\\\sqrt{75}=\sqrt{25.3}=5\sqrt{3}$

$\sqrt{12}+\sqrt{27}-\sqrt{75}=2\sqrt{3}+3\sqrt{3}-5\sqrt{3}$

Colocando $\sqrt{3}$ em evidência

$\sqrt{12}+\sqrt{27}-\sqrt{75}=(2+3-5)\sqrt{3}\\\\\sqrt{12}+\sqrt{27}-\sqrt{75}=(5-5)\sqrt{3}\\\\\sqrt{12}+\sqrt{27}-\sqrt{75}=0\sqrt{3}\\\\\sqrt{12}+\sqrt{27}-\sqrt{75}=0$