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|dw:1436571087714:dw|

HINT: \(\sqrt{75} = \sqrt{3\cdot25}\)

i dont no what to do with the square root thing

Any more ideas?

|dw:1436571478881:dw|

^ That was what geeky was trying to say

|dw:1436571469286:dw|

tha answer i got wasnt one of those

The answer is indeed in one of them. Please work with me not just for the sake of the answer.

What is âˆš25 ?

what the line thing mean tho

âˆš = Square root...

Do you know what a square root is?

i no what it is i dont no what to do with it

That means you don't know what it is. If you knew what it is, you'd know what to do w/ it.

The square root means what number *squared* will equal the number in the "âˆš"

what i menat was i no what the line means

|dw:1436571742740:dw|

okay but how do you get a answer out of that?

like how do you simplify it

|dw:1436571796728:dw|
Sorry but you need to work to your own answer.

im not asking you to give me the answer im asking you to explain

I am explaining ?

yea and now i no what a sguare root is but how do you simplify one

You need to split the imperfect square into two squares so one of them is simplify able.

Look at my above drawings.

Yeah, I would said the same thing.

spliting it is 37.5

I mean into two different square roots.. not dividing it by 2.

Like a factor tree.

No, by splitting square root, we mean \(\large \sqrt{ab} \quad\Rightarrow\quad\sqrt a\sqrt b\)

Here, we have case of \(a=3\) and \(b=25\)

so \[\sqrt{7} \sqrt{5}\]

\(\large \sqrt{75}=\sqrt{3\cdot25}=\sqrt3\sqrt{25}\)

a and b are variables, not digits.

oh okay

Now we cannot simplify \(\sqrt3\), but we can with \(\sqrt{25}\).
What is \(\sqrt{25}\)?

it would be \[\sqrt{5 * 5}\]

Taking square root is opposite of squaring.
What number multiplied by itself would get you 25?

Yeah, but you don't have to split any more.

\(25 = 5^2\)
So \(\sqrt{25}=~?\)

5?

Correct.
So you have \(\large \sqrt{25}\sqrt3 ~~=~~ \boxed{5\sqrt3}\)
It makes sense, right?

oh because the 3 is from the first one yea i get that

thank you for the help

Thanks :)