Subjects algebra

Rationalize Denominator A7D68B

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1. The problem is to rationalize the expression, which means to eliminate any radicals from the denominator of a fraction. 2. The general formula for rationalizing a denominator with a square root is to multiply numerator and denominator by the conjugate or the radical itself. 3. For example, if the denominator is $\sqrt{a}$, multiply by $\frac{\sqrt{a}}{\sqrt{a}}$ to get rid of the root. 4. If the denominator is a binomial with a root, like $a + \sqrt{b}$, multiply by its conjugate $a - \sqrt{b}$. 5. This uses the difference of squares formula: $$(a + \sqrt{b})(a - \sqrt{b}) = a^2 - b$$ 6. Show your specific expression to rationalize for detailed steps.