Simplify.

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1436571087714:dw|
HINT: \(\sqrt{75} = \sqrt{3\cdot25}\)
i dont no what to do with the square root thing

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Other answers:

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 √25 ?
what the line thing mean tho
√ = 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 "√"
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.
@geerky42 Am I explaining okay?
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
^^^ Great job @geerky42 :)
Thanks :)

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