Maths Rationalizing Numerator

In this video, we explore how to find the limit of a function as x approaches -1. The function is (x+1)/(√(x+5)-2). To tackle the indeterminate form 0/0, we "rationalize the denominator" by multiplying the numerator and denominator by the conjugate of the denominator. This simplifies the expression, allowing us to evaluate the limit.

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$Upgrade Academy on Instagram: "💡 Math Tip — Rationalizing the Denominator Rationalizing the denominator means removing square roots from the bottom of a fraction. We do this by multiplying the top and bottom by the **conjugate**—the same terms but with the opposite sign in between. This makes the denominator a regular number instead of something with a radical. It’s done to keep answers in standard, simplified form, because having a square root in the denominator is considered untidy in math. T$