Mathematics
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OpenStudy (anonymous):
The monomial 36x4 is a perfect square. What is the square root of 36x4?
6x2
6x4
18x2
18x4
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OpenStudy (anonymous):
@Nnesha Is It A?
OpenStudy (jhannybean):
what is 36 \(\cdot\) 4 =?
OpenStudy (jhannybean):
\[\sqrt{36 \cdot 4} = \sqrt{36} \cdot \sqrt{4} =~?\]
OpenStudy (jhannybean):
Can solve this a number of ways, actually.
OpenStudy (anonymous):
Is It A @Jhannybean
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OpenStudy (jhannybean):
I won't tell you the answer. I want oyu to tell me what the square root of 36 is, and what the square root of 4 is.
OpenStudy (anonymous):
6 and 2
OpenStudy (jhannybean):
And what do you get when you multiply them?
OpenStudy (anonymous):
12
OpenStudy (jhannybean):
an what do you get when you square 12
?
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OpenStudy (michele_laino):
please note that \[36=6^{2}, 4=2^{2}\]
OpenStudy (anonymous):
4
OpenStudy (jhannybean):
no, what is \(12^2\)?
OpenStudy (anonymous):
144
OpenStudy (jhannybean):
Good. when you multiply 36 x 4 you get 144.
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OpenStudy (jhannybean):
Therefore,from what you have told me so far, let's put it all together.
OpenStudy (anonymous):
6-4-12-144
OpenStudy (jhannybean):
\[36 \cdot 4 = 144 \implies \sqrt{144} = \sqrt{12 \cdot 12} = 12= 6 \cdot 2\]
OpenStudy (paxpolaris):
the square root of : \(36x^4\)
is \(6x^2\) ... correct
OpenStudy (jhannybean):
Does that make sense, @iam.dhue ?
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OpenStudy (anonymous):
Yea iHave It Written Down
OpenStudy (jhannybean):
Great :) so which answer did you get?
OpenStudy (anonymous):
A
OpenStudy (jhannybean):
Good job.
OpenStudy (anonymous):
You Mind Helping Me
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OpenStudy (jhannybean):
Sure, I can try. close this question and open a new one :)