Question

Simplify sqrt 48. I got 4 sqrt 3. is that correct???

Answer 1

:)

Answer 2

Mind showing how you got that? then I'd be more comfortable confirming or correcting your approach.

Answer 3

U R RIGHT .

Answer 4

That's what I got

Answer 5

would you please let @Death_The_Kid respond first, showing his own work? Thank you.

Answer 6

IM A GIRL @mathmale thanks a lot. i don't really know how i got it i was working it out and the answer just popped in my head. I wanted to use openstudy to check my answer to make sure i wasn't going crazy

Answer 7

IM A GIRL

Answer 8

Oh? Sorry indeed! :)
Let me assure you that you're not going crazy.
Starting with Sqrt(48), think of one or more factors of 48 that is a perfect square. For example, 4 and 16 are both factors of 48.

Answer 9

The most efficient way to go is to identify the largest perfect square factor of 48.
What is it?

Answer 10

Uhm..... heh?

Answer 11

oh eight

Answer 12

i think

Answer 13

But, DTK, 8 isn't a perfect square, is it? If not, try again. Is 4 a perfect square? 16? 48?

Answer 14

jesh........

Answer 15

Hints:

Perfect squares are:

x x^2
0 0
1 1
2 4
3 9
4 16

and so on.

Answer 16

So: which of the following are perfect squares? 1,4,8,12, 16,48

Answer 17

ohhhhhhhh

Answer 18

4 16 48 etc?

Answer 19

according to the table I typed in for you, 1, 4 and 16 are perfect squares. 48 is not:

Perfect squares are:

x x^2
0 0
1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64

Answer 20

ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorryz

Answer 21

Hope you'll keep this for later review.

Now, among 1,4, 16, which is the largest perfect square?

Answer 22

16

Answer 23

Absol. right!

Answer 24

Factor 16 out of 48. What do you get as the 2nd factor of 48?

Answer 25

Hint: 48 divided by 16 is ???

Answer 26

three

Answer 27

So Sqrt(48) can be re-written as Sqrt(16*3), right?

Answer 28

oh so i WAS right!

Answer 29

Yes, you were.
And we are allowed to factor Sqrt(48) into Sqrt(16)*Sqrt(3).
What is Sqrt(16)?

Answer 30

4

Answer 31

4 sqrt 3!!!!!!!!!!!!!!!!!!! YAY

Answer 32

And so Sqrt(16)*Sqrt(3)= ( ? )*Sqrt(3)

Answer 33

44444444444444444444444444444444

Answer 34

cool. Oh, I love it when someone else comes to an undrstanding like this!

Answer 35

lol are you a math teacher?

Answer 36

Hope to see you again on OpenStudy! Best of luck to you. MM

I tutored and taught Math on and off for 43 years, in Rochester, New York.

Answer 37

cool!

Answer 38

All the best to you! Bye for now. :) MM