Absolute Value with Radicals Basics for Math 8

This project was created with Explain Everything ™ Interactive Whiteboard for iPad.

[captainfalcon]

This is exactly what good teaching is. Quick, simple, easy to understand. A fundamental piece of knowledge that school just skips over.

[joshiifruit]

Thank you so much! I’m currently taking calculus class and learning the fundamentals truly helped me a lot!

[cheezzz]

thank you! I've been struggling to understand this concept for days but the way u explain it is very clear and straightforward and it makes sense now :)

[dharmakat]

Thank you for this clear and straightforward explanation.

[michellearana]

thank you for this i wasnt listening to my teacher when she was explaining lmao

[grostig]

Thanks for the only reference to this rule I could find on youtube. Do you know the formal name for this so we can research it further, as well as the more complicated aspects you mentioned. Perhaps a good book as a reference?

[JenniferHanna-dk]

Thank you, Emily! This was so helpful to me!! :)

[tresatriesit]

Thanks for this really great lesson! I was using aleks and stuck because of the way they worded the instructions!

[Adameve-tj]

In your last example, why x^2 is not inside the absolute value? Sorry I have poor understanding in English. Can you explain it in easy words? Thank you.

[renewd]

If I am given the expression √x^7 can I assume that x ≥ 0? Because, if x < 0, then I would have a negative radicand under an even radical sign (undefined for real numbers.) Thank you.

[ghostfrom]

I'm confused. In my infantile exposure to this, I think square root of (-3)^2 = absolute value of I -3^2 I is a convoluted way of stating square root of (-3) x (-3) = 9 square root. which is 3.

[DimonAssyrian]

Is it the result 8 or -8 ? Bcuz square root will be (-2)^6/2 = -8

[sonofjesus]

What about multiplying radicals and using absolute value to ensure them

[david.ricardo]

Why you square first and then find the square root instead of the other way around?

[ColtNovice]

In my school district we don’t learn radicals until pre-calculus 11.

[sonofjesus]

I had a very very complicating problem involving two product radical expressions. I had to simplify them but the problem totally overturned the rule, at least that is what I think, which thrown me into confusion

[bleachdeliver]

how is the square root of y6 3 if 3x3=9