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4) -2sqrt (2)-2sqrt (3)+2sqrt (3) A) 2sqrt (3) B) -2sqrt (2) 2sqrt (3)-2sqrt (2) D) 0

Pergunta

4)
-2sqrt (2)-2sqrt (3)+2sqrt (3)
A) 2sqrt (3)
B)
-2sqrt (2)
2sqrt (3)-2sqrt (2)
D) 0

4) -2sqrt (2)-2sqrt (3)+2sqrt (3) A) 2sqrt (3) B) -2sqrt (2) 2sqrt (3)-2sqrt (2) D) 0

Solução

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Yara MariaElite · Tutor por 8 anos

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To solve the expression \(-2\sqrt{2} - 2\sqrt{3} + 2\sqrt{3}\), we need to combine like terms.<br /><br />First, let's rewrite the expression:<br />\[<br />-2\sqrt{2} - 2\sqrt{3} + 2\sqrt{3}<br />\]<br /><br />Next, we notice that \(-2\sqrt{3}\) and \(+2\sqrt{3}\) are like terms and they cancel each other out:<br />\[<br />-2\sqrt{2} - 2\sqrt{3} + 2\sqrt{3} = -2\sqrt{2} + 0 = -2\sqrt{2}<br />\]<br /><br />So, the simplified expression is:<br />\[<br />-2\sqrt{2}<br />\]<br /><br />Therefore, the correct answer is:<br />B) \(-2\sqrt{2}\)
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