Simplify.

- anonymous

Simplify.

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- anonymous

|dw:1436571087714:dw|

- geerky42

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

- anonymous

i dont no what to do with the square root thing

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## More answers

- anonymous

Any more ideas?

- anonymous

|dw:1436571478881:dw|

- anonymous

^ That was what geeky was trying to say

- anonymous

|dw:1436571469286:dw|

- anonymous

tha answer i got wasnt one of those

- anonymous

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

- anonymous

What is âˆš25 ?

- anonymous

what the line thing mean tho

- anonymous

âˆš = Square root...

- anonymous

Do you know what a square root is?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

what i menat was i no what the line means

- anonymous

|dw:1436571742740:dw|

- anonymous

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

- anonymous

like how do you simplify it

- anonymous

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

- anonymous

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

- anonymous

I am explaining ?

- anonymous

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

- anonymous

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

- anonymous

Look at my above drawings.

- anonymous

@geerky42 Am I explaining okay?

- geerky42

Yeah, I would said the same thing.

- anonymous

spliting it is 37.5

- anonymous

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

- anonymous

Like a factor tree.

- geerky42

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

- geerky42

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

- anonymous

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

- geerky42

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

- geerky42

a and b are variables, not digits.

- anonymous

oh okay

- geerky42

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

- anonymous

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

- geerky42

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

- geerky42

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

- geerky42

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

- anonymous

5?

- geerky42

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

- anonymous

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

- anonymous

thank you for the help

- anonymous

^^^ Great job @geerky42 :)

- geerky42

Thanks :)

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