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Rationalize the denominator and (3)/(sqrt (3))

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Rationalize the denominator and
(3)/(sqrt (3))

Rationalize the denominator and (3)/(sqrt (3))

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GonçaloMestre · Tutor por 5 anos

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To rationalize the denominator of the expression $\frac{3}{\sqrt{3}}$, we need to eliminate the square root in the denominator. We can do this by multiplying both the numerator and denominator by $\sqrt{3}$.<br /><br />$\frac{3}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{3\sqrt{3}}{3}$<br /><br />Now, we can simplify the expression by canceling out the common factor of 3 in the numerator and denominator.<br /><br />$\frac{3\sqrt{3}}{3} = \sqrt{3}$<br /><br />Therefore, the rationalized form of $\frac{3}{\sqrt{3}}$ is $\sqrt{3}$.
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