Simplifying a rational radical by multiplying by the conjugate

👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator and then simplify. When the square root in the denominator is covering both terms of the denominator, we multiply both the numerator and the denominator with the denominator and simplify.

Timestamps:
0:00 Intro
1:05 Start of Problem

Corrections:
4:47 Made a mistake. 4 minus 5 is not 9, but -1.

Organized Videos:
✅How to Divide Radical Expressions
✅Divide by the 4th root with variables
✅Divide by the cube root with variables
✅Rationalize the denominator with the cube root
✅Rationalize the denominator with radical binomials
✅Divide the 5th root of a number
✅Divide by the cube root of a number
✅Simplify the square root of a fraction
✅Simplify the square root of a fraction with variables
✅Simplify the square root with multiple fractions
✅Divide by the square root of a number

Connect with me:

#radicals #brianmclogan

[brianmclogan]

wow, I am embarrassed, need to be more careful. Thank you again for letting me know about this. I really appreciate it. If you see any more corrections or need further explanations please let me know. Thanks.

[brianmclogan]

thank you so much! We all make mistakes and I thank you for pointing it out to me. I made an annotation for my video so students will not be confused. Again thank you

[barrieholmesthechief]

I love this. It’s brilliant. Haters I have no time for. Follow your work all the time, it’s excellent. Starting going back to maths to help focus my mind. When I’m struggling I can always rely on your work to help me out with problems. Man, I wish my maths teacher had the same approach as you do back in the day.

[mohdamyrulhelmy]

Im from 2020, just to check out how to do conjugate
And i really freaked out when he said root of 3 but wrote 8 😅😅
Also, hello from Malaysia 🇲🇾

[jeremyabdelmalak]

I've seen so many videos and had extra help from my teacher and I still cant figure out radicals! My test is tomorrow

[anastasiaseyer]

your videos are so helpful - they are really aiding my CLEP study! Thank you for simplifying algebra!

[hoaithuongho]

Hi, thank for this video, your method is so good. However, the answer is incorrect.

[aryusure]

Thanks for the annotation. I was indeed confused. ;)

[souljarohill]

you prolly wont answer back in time but can you tell me why the sign doesnt cancel as well on the bottom? Why is it 4 - -5 instead of just 4-5 because the first minus was supposed to be with the -2 square root 5. I dont know why i cant get my brain over that small detail

[goofeybutreal]

OMG, I freaked out for a bit with the 9, with I got -1. Ok, I’m good now. Thank you for the video.

[privateryan]

I didn't even know it was this simple. Thank you very much!

[CPsx]

Why did the minus sign in front of the second term which you cancelled out with the third term change the sign of the last term?

[Paul-wwht]

Hey can someone help me? How did the denominator become negative 9. When the two square roots in the denominator cancel out doesn't that leave you with zero? So it would be 4 minus 5 right? Where did it become 4 minus negative five exactly?

[Angel_Hearted]

If I could do magic, I would borrow your brain. The higher in math you go the more tedious it becomes. Thanks for sharing, I needed to know what a conjugate was. 

[cabdulaahimualim]

thank you sir for your help. i understood more about complex numbers but confused less mistake some points in it

[brianmclogan]

The problem asks us to subtract them, sense they are not like terms I cannot subtract them

[daviddavis]

I was going to say that it was supposed to be over 1 not 9 but thank you anyway

[tashspond]

I’m so lost…. Where did u get all the x’s

[MoMbarek]

Thank you that video was very helpful!

[MooN-vtln]

Can you tell me that how to find conjugate of 3+under root 7 pls sir