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simplify square root of x^11

 Nov 20, 2016
 #1
avatar+36919 
0

sqrt(x^11) = sqrt(x^10* x)= x^5 sqrt(x)

 Nov 20, 2016
 #2
avatar+1904 
+3

\(\sqrt{{x}^{11}}\)

 

\(\sqrt{x\times x\times x\times x\times x\times x\times x\times x\times x\times x\times x}\)

 

\(x\sqrt{x\times x\times x\times x\times x\times x\times x\times x\times x}\)

 

\({x}^{2}\sqrt{x\times x\times x\times x\times x\times x\times x}\)

 

\({x}^{3}\sqrt{x\times x\times x\times x\times x}\)

 

\({x}^{4}\sqrt{x\times x\times x}\)

 

\({x}^{5}\sqrt{x}\)

 

\({x}^{5}{x}^{\frac{1}{2}}\)

 

\({x}^{5+\frac{1}{2}}\)

 

\({x}^{\frac{10}{2}+\frac{1}{2}}\)

 

\({x}^{\frac{11}{2}}\)

.
 Nov 20, 2016
edited by gibsonj338  Nov 20, 2016
 #3
avatar+118613 
0

simplify square root of x^11

 

\(\sqrt{x^{11}}=(x^{11})^{1/2}=x^{11*1/2}=x^{11/2}=x^{5.5}\)

 Nov 20, 2016

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