Mathematics
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OpenStudy (anonymous):
Can someone help me please
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OpenStudy (anonymous):
\[2x \sqrt{20x ^{20}}\]
OpenStudy (anonymous):
Help me please @satellite73
OpenStudy (anonymous):
\[20=4\times 5\] and so \[\sqrt{20}=\sqrt{4\times 5}=\sqrt{4}\sqrt{5}=2\sqrt{5}\] as a start
OpenStudy (anonymous):
and also \(\sqrt{x^{20}}=x^{10}\) because \((x^{10})^2=x^{20}\)
OpenStudy (anonymous):
so you get
\[2x\sqrt{20x^{20}}=2x\times 2\times x^{10}\sqrt{5}\]
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OpenStudy (anonymous):
I got \[4x ^{2\sqrt{5x ^{5}}}\]
OpenStudy (anonymous):
which you rewrite as
\[4x^{11}\sqrt{5}\]
OpenStudy (anonymous):
thanks u so much :)
OpenStudy (anonymous):
yw
OpenStudy (anonymous):
\[b ^{2}c ^{-1}\] B= -4
C=2
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OpenStudy (anonymous):
\[(-4)^2\times 2^{-1}\] is the first step
OpenStudy (anonymous):
\((-4)^2=(-4)(-4)=16\) and \(2^{-1}=\frac{1}{2}\) so you really have
\[\frac{16}{2}\]
OpenStudy (anonymous):
8
OpenStudy (anonymous):
better known as 8
OpenStudy (anonymous):
\[8\sqrt{x ^{7}}-6\sqrt{x ^{5}}\div2\sqrt{x ^{3}}\]
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OpenStudy (anonymous):
is it
\[8\sqrt{x^7}-\frac{6\sqrt{x^5}}{2\sqrt{x^3}}\]?
OpenStudy (anonymous):
no u dived
all of it by
\[2\sqrt{x ^{3}}\]
OpenStudy (anonymous):
\[\frac{8\sqrt{x^7}-6\sqrt{x^5}}{2\sqrt{x^3}}\]
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
divide each term separately as a start
\[\frac{8\sqrt{x^7}}{2\sqrt{x^3}}-\frac{6\sqrt{x^5}}{2\sqrt{x^3}}\]
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OpenStudy (anonymous):
you get
\[4\sqrt{x^4}-3\sqrt{x^2}\]because when you divide you subtract the exponents
OpenStudy (anonymous):
then \(\sqrt{x^4}=x^2\) and \(\sqrt{x^2}=x\)
OpenStudy (anonymous):
okay I get that
OpenStudy (anonymous):
so the whole thing is \(4x^2-3x\)
OpenStudy (anonymous):
okay that's wat I go t
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OpenStudy (anonymous):
yay