Question

How do you simplify:

Answer 1

\[\sqrt{72} \]

Answer 2

Okay so some easy steps to start simplifying.

Answer 3

First you're going to want to try to split that 72 into something you know can factor.

Answer 4

Any idea what 72 can be split into?

Answer 5

36?

Answer 6

and what?

Answer 7

ohhhhh. Do you mean like 8 times 9?

Answer 8

yes, or like tyou said 36 times what? Your first guess was correct.

Answer 9

so then what?

Answer 10

or is that the answer? lol

Answer 11

\[\sqrt{36 * ?}\]

Answer 12

2

Answer 13

\[\sqrt{36 * 2}\]

Answer 14

now can you simplify sqrt(36 or sqrt(2)?

Answer 15

WE don't split it up, so sorry if that last comment is confusing....

Answer 16

WE can just look at each piece now, and determine what's needed....

Answer 17

You can also use 8 and 9...

Answer 18

yes, we can abb0t.... but this is easier. I was going to show 8 and 9 after.

Answer 19

i can simplify 36 into

Answer 20

\[\sqrt{6 * 6}\]

Answer 21

nono, we don't need to simplify it that way. I meant does sqrt(36) or sqrt(2)= anything?

Answer 22

oh yeah, 36= 6 and 2= 1.414214562. do i have to simplify 2?

Answer 23

correct so we get \[6 \sqrt{2}\] which is our answer.

Answer 24

ahhhhhhh thanks a lot

Answer 25

we don't need to simplify 2, we just need to get it into it's simpliest form.

Answer 26

so for example, lets use 8 and 9.

Answer 27

\[\sqrt{72} = \sqrt{8 * 9} = 3 \sqrt{ 4 * 2} = 2 *3 \sqrt{2} = 6 \sqrt{2}\]

Answer 28

Its' really just trying to take some ugly sqrt thart we cannot solve and split it into things that we can solve for :).

Answer 29

i liked the 36 and 2 one better lol. Thanks again!

Answer 30

Yeah, it's easier, but you can see how it can be applied with any set :). Good luck, I hope you understand the concepts.

Answer 31

so lets see if i have this:

Answer 32

Sure, throw up a random # and lets see if we can solve.

Answer 33

as long as it's not prime... AHAH..

Answer 34

\[\sqrt{75} = 5\sqrt{3}\]

Answer 35

yes.

Answer 36

yaaahooooo

Answer 37

ok thanks cya later!

Answer 38

\[\sqrt{75} = \sqrt{25 * 3} = 5 \sqrt{3}\]

Answer 39

np good luck.

Answer 40

Hey here is a new type of problem:

Answer 41

\[\sqrt{5} \times \sqrt{35}\]

Answer 42

Think you can do that?

Answer 43

hmm Idk man you're asking a lot here... :p

Answer 44

lets start off basic. Multiply them together, what do we get?

Answer 45

or, if you want, you can split sqrt(35) into 2 parts, and go that way :).

Answer 46

well i dont need to get the answer to the equation, i think i just need to simplify it. Its under the section of simplifying

Answer 47

so do i just simplify each part?

Answer 48

simplifying is the same thing.

Answer 49

you basically are given an eq, to solve. IT could be multiplication, addition, etc, etc. Then you want to use the elements to combine and form something you are able to simplify and take something out of the sqrt. That is our main objective, to get a real number.

Answer 50

We are doing exactly what we did before, exept we are adding an additional step. Instead of 35 and 5, we had 36 and 2. or 9 and 8(9 * 4 *2)

Answer 51

I guess above I shouldn't have said you shouldn't split them out, because in the end you can, and it doesn't matter.... sqrt(36) * sqrt(2) is the same thing

Answer 52

6 * sqrt(2)

Answer 53

so would it be sqrt(5) and 35= 7 * 5

Answer 54

\[\sqrt{5} \times \sqrt{7} \times \sqrt{5}\]?

Answer 55

but those are primes....

Answer 56

yessir, but you can combine them in other ways, no?

Answer 57

sqrt(5) * sqrt(5) = ?

Answer 58

i dont know. So then what do i do?

Answer 59

oh didnt see your comment

Answer 60

Always remember when we have 2 of the same sqrt() we get the actual number

Answer 61

25?

Answer 62

oops 5

Answer 63

sqrt(25)yes.

Answer 64

and yes.

Answer 65

wait...

Answer 66

we now have our answer.

Answer 67

so how do i write down this answer?

Answer 68

5sqrt(7)

Answer 69

ohhhh ok

Answer 70

Math is awesome that you can combine and move things around to find whatever you need.


Lets say we have sqrt(3) sqrt(3) and sqrt(4) the 2 sqrt(3) become a 3. and the sqrt(4) becomes a 2. Our answer is 6.

Answer 71

But if we had lets say sq(15) and sqrt(3) we will have to split up the sqrt(15) into sqrt(3) sqrt(5) and then another sqrt(3) which we end up getting 3sqrt(5)

Answer 72

ahhhhhhhh that makes sense! Are you a math teacher or something?

Answer 73

haha na...

Answer 74

I just know how much it sucks to not get proper help.....

Answer 75

yeah man. Ok well you saved my grade! Thanks again

Answer 76

No problem good luck ,anymore questions you can do @konradzuse to get me.

Answer 77

ok lets hope i dont need to do that :P

Answer 78

There are lots more math in your future :).

Answer 79

true that.

Answer 80

:) I just got done with Linear Algebra and Calculus 2 :)

Answer 81

im half way through geometry...

Answer 82

hey would the answer to sqrt of 9 over 5 = sqrt of 45 over 5?