Algebra
13 Online
OpenStudy (anonymous):
evaluate √x+7 when x = 9.
write the answer in simplified radical form
10
16
4
8
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OpenStudy (anonymous):
@mathmale
OpenStudy (abdullahm):
Hey there!
OpenStudy (anonymous):
hello
OpenStudy (abdullahm):
Is it the square root of x or the square root of (x + 7) ?
OpenStudy (anonymous):
the square root of (x + 7)
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OpenStudy (anonymous):
i think the answer is 4
OpenStudy (abdullahm):
Ok, great!
So, first of all, we need to plug in x = 9
What is 9 + 7 = ?
OpenStudy (anonymous):
16
OpenStudy (abdullahm):
And so we have:
sqrt(9 + 7) = sqrt (16) = ?
What is the square root of 16?
Hint: What times itself will give you 16?
OpenStudy (anonymous):
4 x 4
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OpenStudy (abdullahm):
So sqrt (16) = 4
Are all of the answer choices under square roots or no?
OpenStudy (anonymous):
wait sorry i didnt get your question?
OpenStudy (abdullahm):
Are all of those numbers in your answer choices under a \(\sqrt{}\)? Or are the answers choices just a number like 4?
OpenStudy (anonymous):
there just numbers like 4
OpenStudy (abdullahm):
Then your answer is just 4. :)
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OpenStudy (anonymous):
thanks! can you help me with 1 more question
OpenStudy (abdullahm):
Sure!
OpenStudy (anonymous):
evaluate √24 - x when x = 6.
write the answer in simplified radical form.
√2
3
3√2
9
OpenStudy (anonymous):
i think it's 9 because 9 cant be simplified
OpenStudy (abdullahm):
So is it sqrt (24 - x) ?
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OpenStudy (anonymous):
yep
OpenStudy (abdullahm):
What is 24 - 6 = ?
OpenStudy (anonymous):
18
OpenStudy (abdullahm):
Now we need to simplify sqrt 18.
sqrt 18 = sqrt (9 * 2) = sqrt(9) * sqrt (2)
What is sqrt 9 = ?
OpenStudy (anonymous):
2?
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OpenStudy (abdullahm):
Does 2 * 2 = 9?
OpenStudy (anonymous):
no 3 * 3 does so the sqrt of 9 is 3
OpenStudy (abdullahm):
Yes, so now we have
sqrt(9) * sqrt (2) = 3 * sqrt (2) = 3sqrt(2)
OpenStudy (abdullahm):
Do you understand how I simplified square root 18?
OpenStudy (anonymous):
yes i do thanks
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OpenStudy (anonymous):
one more question? please :(
OpenStudy (abdullahm):
It was my pleasure. :)
OpenStudy (abdullahm):
Sure!
OpenStudy (anonymous):
yay!
OpenStudy (anonymous):
evaluate √16 - x when x = 8.
write the answer as a decimal
4
1.41
2
2.83
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OpenStudy (anonymous):
round to the nearest hundreds if necessary**
OpenStudy (anonymous):
i think its D
OpenStudy (abdullahm):
sqrt (16 - x), right?
The parenthesis make a big difference.
OpenStudy (anonymous):
yes
OpenStudy (abdullahm):
It is D. You are correct. :)
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OpenStudy (anonymous):
yay thanks for your help!
OpenStudy (abdullahm):
I'm glad that I was able to be of some help. :)