Math - Simplifying Radicals

This math video tutorial explains how to simplify radicals that contain within it mathematical expressions in the form of a perfect square trinomial.

Simplifying Radical Expressions:

Multiplying Radical Expressions:

Adding & Subtracting Radicals:

Simplifying Cube Root Expressions:

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Rationalizing The Denominator:

Multiplying Radicals With Different Indices:

How To Solve Radical Equations:

Solving Equations With Cube Roots:

Solving Complex Radical Equations:

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How To Graph Radical Functions:

Domain of Radical Functions:

How To Graph Cube Root Functions:

Radical Expressions - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[mindlessmerc]

Can you believe me that I've spent the last 3 days trying to find someone explaining exactly this? I'm ever grateful for this video

[lorrids]

I've started to watch your videos even though you've helped me PASS calculus and I no longer need math for my major. You're very calming and you're supurb at explaining the topic :))

[mullikahong]

You explain it better than my teacher. Thanks so much!

[jim]

8√5 = (2 x 4)√5. Take the 4 back inside the radical, which becomes 16, for 2√80. Now we're able to use a shortcut. 16 + 5 = 21 and 16 x 5 = 80. So automatically we have √16 - √5 which simplifies to 4 - √5. Whenever (a) you have 2 in front of the radical sign of the second term and (b) numbers that sum to the first term are (c) the same numbers of the product of the radicand of the second term, then you can use this shortcut. Keep the original sign, larger term placed first.

[coolmanchu]

Can you make a tutorial on graphing calculators please?

[devondevon]

4:09 Answer = 3- radical 7 expand to 9 + 7 - 6 raidical 7 or 16 -6 radical 7

[Noro.i]

BRO... you explain better then my teacher!

[mkmhfkc]

I want to give people like a million dollars for helping students like me

[otherdistractions]

Actually this is hybrid operation involving factoring. The reduction of radicals is something like the 8th root of a is the 4th root of the square root etc

[ihsanseman]

Tnx ur video have been a lot of help keep going

[jeffreyli]

Square root (a-b)^2 doesn’t equal a-b if a-b is a negative value bc of the principle square root property. You’d have to flip a-b to b-a.

[RAG]

Your method only works for the cases you are using. As soon as the answer should have more than 1*the root your method fails badly. Try it on rt(37+20rt3). It will fail unless you realise you should be trying (a+brt3)^2 in you method. Here ab=10, and you have to try the different factors of 10 for a and b.

[mrkit]

Got all right sir, thanks for the help as I had thought in these problems!

[saralouati]

I started watching you I became good in math

[LMroid]

Hi, what if i cant solve it by the method above?

[nizomiddin_shahina]

Thank you. Very very helpful. Could you tell me in which program you wrote. I am looking forward to hearing from you soon. Thank you

[lemlemmulu]

Thqnks but i couldn't get answer for my question

[georgesbv]

I don't see why the cross multiplication since you already started with the (A-B)^2=A^2+B^2-2AB

[emirxyz]

at first, it looks very simple problem but when you tried to solve it, its hard.

[pearljusain]

can someone explain me how to apply it in sqrt(21+4sqrt5)