How to simplify by rationalizing the denominator, 14root(8) / 7root(2)

1,768 views · Published 18 May 2012 · 2:18 · Indexed 4 November 2026

Channel: Brian McLogan · 2012 · Education

Watch on YouTube

👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify. Where the rational number can divide, we divide the numerator by the denominator and then find the square root of the resulting quotient.

👏SUBSCRIBE to my channel here:  https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1

❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:  https://www.youtube.com/user/MrBrianMcLogan/community 

Organized Videos:
✅How to Divide Radical Expressions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpS8k9YvdRY8FWjuyW0SSf6
✅Divide by the 4th root with variables
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpbhKAvc1SvCGENTIbU_kTa
✅Divide by the cube root with variables
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp0cTbHiGkvmm23tFpYLXfT
✅Rationalize the denominator with the cube root
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqHS9vO8hCT_BIn14rUJDNr
✅Rationalize the denominator with radical binomials
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoVwN3tLl6Z9xV2WQThVH65
✅Divide the 5th root of a number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrsOn3kFOfC5VI1u7hidim_
✅Divide by the cube root of a number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq91VQcWcL3P6MFcbK4Ji4s
✅Simplify the square root of a fraction
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpT2oqRppO3rouiT0yTIXGd
✅Simplify the square root of a fraction with variables
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr_kRgiXUiWiunp-r_iw0Cg
✅Simplify the square root with multiple fractions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoV8WvsHfanq26_N-QWBsX4
✅Divide by the square root of a number
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq_vfaQXEjs2cIavnN7w4P3

🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57

Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 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/

#radicals #brianmclogan

More from this channel