Subjects algebra

Simplify Fraction 4Ade34

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1. The problem is to simplify the expression $\frac{3}{\sqrt{3}}$. 2. The formula used here is to rationalize the denominator, which means to eliminate the square root from the denominator. 3. To do this, multiply both numerator and denominator by $\sqrt{3}$: $$\frac{3}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{3 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}}$$ 4. Simplify the denominator using the property $\sqrt{a} \times \sqrt{a} = a$: $$\frac{3 \times \sqrt{3}}{3}$$ 5. Now, the 3 in numerator and denominator cancel out: $$\sqrt{3}$$ 6. So, the simplified form of $\frac{3}{\sqrt{3}}$ is $\sqrt{3}$. This process is called rationalizing the denominator and is useful to write expressions without radicals in the denominator.