Mathematics
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OpenStudy (kaylak12345):
simplify 2 square root of 5 3 square root of 7^ 2
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OpenStudy (kaylak12345):
simplify 4 square root of 6 over square root of 30 by rationalizing the denominator
OpenStudy (studygurl14):
Only one question at a time. Is the first one
\(\Large (2\sqrt{5})(3\sqrt{7^2}\)
OpenStudy (studygurl14):
i meant to put another parenthesis at the end.
OpenStudy (kaylak12345):
no (\[(2\sqrt{5}+3\sqrt{7})^2\]
OpenStudy (kaylak12345):
is the answer 2*2*squrt5*3*squrt7=2*2*3*squrt5*squrt7
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OpenStudy (studygurl14):
Oh, okay. So you have
\(\Large (2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\)
OpenStudy (kaylak12345):
okay
OpenStudy (studygurl14):
If \(\Large (a+b)(a+b)=a^2+2ab+b^2\)
and a=\(\large 2\sqrt{3}\) and b=\(\large 3\sqrt{7}\), what does this expression equal?
OpenStudy (kaylak12345):
\[4\sqrt{3}+6\sqrt{7}=2\sqrt{3}^2+4\sqrt{3}+6\sqrt{7}+3\sqrt{7}^2\]
OpenStudy (kaylak12345):
something like that idk
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OpenStudy (studygurl14):
Not quite. (sorry i made a mistake earlier, it was \(\sqrt{5}\), not \(\sqrt{3}\))
OpenStudy (kaylak12345):
im so confused offically
OpenStudy (studygurl14):
hold on a sec
OpenStudy (studygurl14):
\(\Large a^2+2ab+b^2\)
\(\Large a=2\sqrt{5}\), \(\Large b=3\sqrt{7}\)
\(\Large (2\sqrt{5})^2+2(2\sqrt{5})(3\sqrt{7})+(3\sqrt{7})^2\)
OpenStudy (kaylak12345):
so is that the answer of what i have to solve
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OpenStudy (studygurl14):
\(\large \rightarrow 2^2(\sqrt{5})^2+2(2\sqrt{5})(3\sqrt{7})+3^2(\sqrt{7})^2\rightarrow?\)
OpenStudy (kaylak12345):
so thta is what i am solving
OpenStudy (studygurl14):
yeah. simplify
OpenStudy (kaylak12345):
first one is 2squrt 5^4
OpenStudy (studygurl14):
No. First off, what is 2^2?
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OpenStudy (kaylak12345):
4
OpenStudy (studygurl14):
correct. Now what is (\sqrt{5})^2\)
OpenStudy (studygurl14):
\((\sqrt{5}^2\)
OpenStudy (studygurl14):
darnnit, lol. i keep messing it up
OpenStudy (kaylak12345):
my calculator says 5
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OpenStudy (kaylak12345):
is it 5
OpenStudy (kaylak12345):
is it 5
OpenStudy (kaylak12345):
hello
OpenStudy (studygurl14):
yep 5
OpenStudy (kaylak12345):
ok
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OpenStudy (studygurl14):
Okay, so you get...
\(\Large 5 + 2(2\sqrt{5})(3\sqrt{7})+3^2(\sqrt{7})^2\)
OpenStudy (studygurl14):
What's 3^2?
What's (sqrt{7})^2 ?
OpenStudy (kaylak12345):
9 and 7
OpenStudy (kaylak12345):
@Tlynn514
OpenStudy (kaylak12345):
can u help me finidh
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OpenStudy (kaylak12345):
@robtobey
OpenStudy (kaylak12345):
or what is the answer so i can check my work
OpenStudy (anonymous):
I am so confused...I read the above equations that other people put up and I keep doing the problem wrong.
OpenStudy (anonymous):
2×2×5√×3×7√=2×2×3×5√×7√
=12×5√×7√
OpenStudy (kaylak12345):
type it please
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OpenStudy (anonymous):
refresh the page and it will come across clearly
OpenStudy (anonymous):
Did it work?
OpenStudy (kaylak12345):
so is the answer 83+12 square root of 35
OpenStudy (anonymous):
YESH!
OpenStudy (kaylak12345):
yay
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OpenStudy (anonymous):
:)