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the square root of 243x^13

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schooledmom | Salutatorian

Posted June 20, 2013 at 1:56 PM via web

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the square root of 243x^13

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llltkl | College Teacher | Valedictorian

Posted June 20, 2013 at 2:34 PM (Answer #1)

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`sqrt (243x^13)=(243x^13)^(1/2)` (by changing the radical form into exponent form)

`=(243)^(1/2)*(x^13)^(1/2)`  (applying `(xy)^m=x^m*y^m` )

`=(243)^(1/2)*x^(13/2)`  (applying `(x^m)^n = x^(mn)` )

`=(3*3*3*3*3)^(1/2) *(x^(13/2))`  

= `3^(5/2)*x^(13/2)`

=`9sqrt3*x^6sqrtx ` (expressing in the radical form again)

=>answer.

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