How do you simplify #sqrt (x^5)#?

1 Answer
Jim G.
Aug 29, 2016

#x^(5/2)#

Explanation:

The only way this may be simplified is by expressing as a fractional exponent.

#color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sqrtx=x^(1/2))color(white)(a/a)|)))#

#rArrsqrt(x^5)=(x^5)^(1/2)#

#color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)((a^m)^n=a^(mn))color(white)(a/a)|)))#

#rArr(x^5)^(1/2)=x^(5xx1/2)=x^(5/2)#

#rArrsqrt(x^5)=x^(5/2)#

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