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6) (-8-sqrt (-64))+(-7+sqrt (-25))

Pergunta

6) (-8-sqrt (-64))+(-7+sqrt (-25))

6) (-8-sqrt (-64))+(-7+sqrt (-25))

Solução

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CamiloElite · Tutor por 8 anos

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To solve the expression $(-8-\sqrt {-64})+(-7+\sqrt {-25})$, we need to simplify the square roots of negative numbers.<br /><br />The square root of a negative number can be expressed as the product of the square root of the positive part and the imaginary unit $i$. So, we have:<br /><br />$\sqrt {-64} = \sqrt {64} \cdot i = 8i$<br /><br />$\sqrt {-25} = \sqrt {25} \cdot i = 5i$<br /><br />Now, we can substitute these values back into the original expression:<br /><br />$(-8-\sqrt {-64})+(-7+\sqrt {-25}) = (-8-8i)+(-7+5i)$<br /><br />Next, we combine like terms:<br /><br />$(-8-8i)+(-7+5i) = -8-7-8i+5i = -15-3i$<br /><br />Therefore, the simplified expression is $-15-3i$.
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