Dividision of radicals - Free Educational videos for Students in K-12

Dividision of radicals - By tecmath

Transcript


00:0-1	good . I welcome to the tech mouth channel .
00:02	We have a look at this video is how to
00:04	divide surge . They're thirds and numbers which can be
00:07	expressed basically only exactly as a route with the root
00:12	sign . So uh , there are rational numbers .
00:14	An example , this might be say uh , square
00:17	root of two . Now you can work on a
00:19	calculator and you can get the answer is a 1.414
00:23	to 136 And even maybe even some more numbers depending
00:26	on how many numbers you calculated spat out . But
00:30	these decimals would never hit a stage where they are
00:33	actually become recurring or they would never actually terminate .
00:35	So this number is expressed most exactly as assert here
00:40	when we're looking at how to divide these , Looking
00:42	at first off , non certain particular , non certain
00:46	arm uh , examples because this is actually can easily
00:50	show us the rules would use now and I think
00:53	people can get thrown by serves because of that uncertainty
00:55	with . So an example of say a question without
00:59	using a third . So we did say something like
01:03	the square root of uh 36 and we divided this
01:10	by the square root of no . And they're both
01:13	of these numbers are Not so much because the square
01:17	root of 36 6 and the square root of nine
01:21	is 3 64 . In about three Probably work out
01:24	equals two . So The square to 36 divided by
01:29	the square of nine is actually equal to the square
01:32	root of Well , the square the answer which gives
01:35	us the square root of two . It's four .
01:39	Well , the answer that gives us two is a
01:41	square and four . So 30 square to 36 divided
01:44	by the square of the nine equals the square 4
01:46	65 . 32 I hope you can see that .
01:49	Okay , but we're going to see is the square
01:51	root of this number divided by this number 36 ,
01:54	divided by nine equals for itself . So you can
01:57	create a rule with this . Okay , which is
02:00	this the square root of for this particular example divided
02:07	by the square root , But dickens the square root
02:14	of a divided by B . Okay , do you
02:17	see this ? And swearing at this divided by the
02:20	square root of this ? Actually swear to this divided
02:22	by this . Okay , so we've got a particular
02:26	rule here that we can use . So let's use
02:31	this . Rewrite it again . So the square root
02:39	of a divided by the square or to be equals
02:44	the square root of a , divided by B .
02:48	So an example , this could be as follows .
02:51	So so we did say something like the square root
02:55	of uh 21 divided by the square root Oh seven
03:06	. Okay . Something nice and easy . And the
03:08	answer to this would be because we actually substituted this
03:11	in that would be the square root of 21 divided
03:14	by seven , which would be equal to the square
03:17	root of three . Okay , and that's how we
03:21	divide , sir . That's fairly simple . Yeah .
03:23	Um the other type of example that you might see
03:27	if you're getting this type of question , especially look
03:30	I know that a lot of this will be a
03:31	mass books . I'll give you an example that you
03:33	also might get with , you might get some examples
03:36	that look like this where they like to do things
03:39	like you might get it written as a fraction where
03:42	you say you can't say something like What about we're
03:46	doing 20 ? The square root of 30 divided by
03:54	um five . The square root five . Okay ,
04:01	now what is the answer to this ? Now the
04:02	way that we do this is as follows . So
04:05	this just means this amount divided by this amount .
04:09	So first off what we actually do is we just
04:11	divide these normal numbers amount . So we could actually
04:14	get this as uh 20 divided by five . Okay
04:19	so it's 20 divided by five and this is actually
04:26	gonna be times why because where this time he wants
04:28	them out here . Uh The square root paul 30
04:35	over five . Okay So 20 divided by five .
04:39	Okay so we could have just done it before 20
04:41	divided by 54 . And We got the square root
04:45	of 30 Divided by five . So the square root
04:49	six and that's a writer . Okay so hopefully that's
04:54	some help there . Uh Maybe I'll just go through
04:57	one last example just to see how you go with
04:59	these . A lot of people feel uncomfortable with serves
05:02	a lot of the time . So we'll go through
05:05	just one more example of these . So say we
05:08	do something like let's go nine and the square root
05:15	of um 25 divided by um three . The square
05:26	root of guess I'm gonna do it five years .
05:30	So how do we work this out ? So nine
05:32	divided by three is 3 . Uh we're gonna get
05:36	the square root 25 divided by five , which is
05:41	fine . Okay , so hopefully you feel pretty good
05:45	with these and in the next couple of videos are
05:48	gonna be actually looking at them , going through adding
05:51	subtracting surgeons and it maybe simplify serves a little bit
05:55	and hopefully you'll be around for those to see you
05:58	next time . Okay .

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