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Mathematics 16 Online
OpenStudy (anonymous):

Can someone help me please

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 \[2x\sqrt{20x^{20}}=2x\times 2\times x^{10}\sqrt{5}\]

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

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):

\[8\sqrt{x ^{7}}-6\sqrt{x ^{5}}\div2\sqrt{x ^{3}}\]

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 \[\frac{8\sqrt{x^7}}{2\sqrt{x^3}}-\frac{6\sqrt{x^5}}{2\sqrt{x^3}}\]

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

OpenStudy (anonymous):

yay

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