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(16x^8y^2)^1/2

sqrt(16x^8y^2)

4x^?y

 ~  what is the square root of x^8?

 Mar 9, 2016
 #1
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16x^8y^2)^1/2

sqrt(16x^8y^2)

4x^?y

 ~  what is the square root of x^8?

 

since  

\(x^4*x^4=x^8\\ \sqrt{x^8}=x^4\)

 

 

\(\sqrt{16x^8y^2}\\ =\sqrt{4*4*x^4*x^4*y*y}\\ =\sqrt{(4*x^4*y)\;\;\;*\;\;\;(4*x^4*y)}\\ =4*x^4*y\\ =4x^4y\)

 Mar 9, 2016

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