Square Roots of Perfect Squares | Math with Mr. J - Free Educational videos for Students in K-12

Square Roots of Perfect Squares | Math with Mr. J - By Math with Mr. J

Transcript


00:0-1	Welcome to Math with mr J . In this video
00:05	, I'm going to cover how to find the square
00:07	root of a perfect square . So in other words
00:11	, these square roots are going to work out nicely
00:14	and give us clean cut hole number answers . And
00:17	remember when finding square roots , we need to think
00:20	about what number multiplied by itself , gives us the
00:25	number under the square root symbol . So let's jump
00:28	into our examples and get a better understanding of square
00:32	roots . Let's start with number one where we have
00:36	the square root of nine . So we need to
00:39	think about what number multiplied by itself . Well equal
00:44	nine . So we know that three times three equals
00:48	nine . Right ? Three times three Equals nine .
00:54	So that's what I mean by a number three multiplied
00:58	by itself gives us the number under the square root
01:02	symbol . So the square root of nine equals 3
01:07	. And that's our answer . Let's move on to
01:11	number two . Where we have the square root of
01:14	16 . So we need to think again . What
01:17	number multiplied by itself equals 16 . We know four
01:23	times 4 equals 16 . Four Times four equals 16
01:30	. So a number multiplied by itself gives us the
01:34	number under the square root symbol . So the square
01:38	root of 16 equals four and that's our final answer
01:44	. Let's move on to numbers three and four where
01:47	we have four square roots for each three of the
01:51	four will have square roots of perfect squares , meaning
01:56	they have a whole number answer and one will not
01:59	work out so nicely . Let's solve these and find
02:02	which ones are the perfect squares and which one is
02:06	not . So we'll start with number three and First
02:10	we have the square root of 81 . So we
02:13	need to think any numbers that multiply by themselves to
02:17	get 81 , Well , nine times nine . So
02:21	81 is a perfect square . So the square root
02:24	of 81 equals nine . So we get a whole
02:28	number answer there and that is a perfect square .
02:32	So I will put a check there , Moving on
02:35	to the Square Root of 26 . So we need
02:38	to think any numbers that multiply by itself to equal
02:43	26 while we know five times five equals 25 .
02:47	That's close but not quite . And then six times
02:51	six equals 36 . So the square root of 26
02:56	is going to be somewhere between five and six .
02:59	It's not a perfect square and it's not going to
03:02	give us a whole number answer . So that's the
03:06	square root . That is not a perfect square within
03:09	these four . Let's do the other two which are
03:13	perfect squares . So the square root of 49 Seven
03:17	times seven equals 49 . So the square root of
03:21	49 equals seven and this is a perfect square .
03:29	Lastly , we have the square root of 100 and
03:33	we know 10 times 10 equals 100 . So the
03:37	square root of 100 equals 10 and this is a
03:43	perfect square . Lastly , number four , we will
03:47	start with the square root of four . So is
03:50	there anything that we multiply by itself to equal four
03:53	? Yes , two times two equals four . So
03:56	the square root of four Equals two . And this
04:00	is a perfect square . Now we have the square
04:05	root of 144 , Well , 12 times 12 equals
04:10	144 . So this is a perfect square . The
04:14	square root of 144 Equals 12 and it is a
04:19	perfect square . Now we have the square root of
04:23	64 , eight times 8 equals 64 . So this
04:28	is a perfect square . The square root of 64
04:34	equals eight . And then lastly we have the square
04:38	root of 74 . This is not a perfect square
04:42	. So we're not going to get a whole number
04:44	answer here . The square root of 74 is going
04:47	to be somewhere between eight and nine because eight squared
04:52	equals 64 then nine squared equals 81 . So again
04:58	, it's going to be somewhere between eight and nine
05:02	. This is not a perfect square . So we're
05:04	not going to get a whole number answer . So
05:08	there you have it . There are some examples of
05:10	how to find the square root of a perfect square
05:13	. If you're looking for more videos about square roots
05:16	, I added those links down in the description .
05:20	I hope that helped . Thanks so much for watching
05:23	Until next time . Peace . Yeah , yeah ,
05:32	yeah .

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