Evaluating a limit by rationalizing the radical

👉 Learn how to evaluate the limit of a function by rationalizing the radical. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct substitution of the value which the variable tends to. When the function is a rational expression such that direct substitution leads to zero in the denominator, we find a way to either eliminate the denominator by multiplying both the numerator and the denominator by a common factor (this can involve rationalization) or decompose the denominator and the numerator into constituent parts so that like terms can cancel out. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm... ❤️Support my channel by becoming a member:    / @brianmclogan   🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 🎉Follow the Community:    / mrbrianmclogan   Organized Videos: ✅The Limit    • The Limit   ✅Evaluate Limits of Complex Fractions    • Evaluate Limits of Complex Fractions   ✅Evaluate Limits of Polynomials    • Evaluate Limits of Polynomials   ✅Evaluate Limits of Rational Expressions    • Evaluate Limits of Rational Expressions   ✅Evaluate Limits with Square Roots    • Evaluate Limits with Square Roots   ✅Evaluate Limits with Trig    • Evaluate Limits with Trig   ✅Limits of Piecewise Functions    • Limits of Piecewise Functions   ✅Evaluate Limits with Transcendentals    • Evaluate Limits with Transcendentals   ✅Evaluate Limits Difference Quotient    • Evaluate Limits Difference Quotient   ✅Evaluate Limits from a Graph    • Evaluate Limits from a Graph   ✅Evaluate Limits of Absolute Value    • Evaluate Limits of Absolute Value   ✅Evaluate Limits of Square Root    • Evaluate Limits of Square Root   ✅Holes and Asymptotes of Rational Functions    • Holes and Asymptotes of Rational Functions   ✅Learn about Limits    • Learn about Limits   ✅Find the Value that makes the Function Continuous    • Find the Value that makes the Function Con...   ✅Is the Functions Continuous or Not?    • Is the Functions Continuous or Not?   ✅Evaluate Limits using a Table of Values    • Evaluate Limits using a Table of Values   ✅Evaluate Limits at Infinity    • Evaluate Limits at Infinity   🗂️ Organized playlists by classes here:    / mrbrianmclogan   🌐 My Website - http://www.freemathvideos.com 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca... Connect with me: ⚡️Facebook -   / freemathvideos   ⚡️Instagram -   / brianmclogan   ⚡️Twitter -   / mrbrianmclogan   ⚡️Linkedin -   / brian-mclogan-16b43623   👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog... 👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/