How do you simplify sqrt(h^11)?

2 Answers
Alan P.
May 16, 2016

sqrt(h^11) = color(blue)(h^5sqrt(h))

Explanation:

sqrt(h^11)=sqrt(h^10*h)

color(white)("XXX")= sqrt((h^5)^2*h)

color(white)("XXX") =sqrt((h^5)^2)*sqrt(h)

color(white)("XXX")=h^5sqrt(h)

Tony B
May 16, 2016

h^5sqrt(h)

Explanation:

The 'long way round' method to fully explain what is happening.

sqrt(h^(11)) = sqrt(h^2xxh^2xxh^2xxh^2xxh^2xxh)

There are 5 lots of xxh^2 so by taking the square root of them we have 5 lots of xxh giving h^5

h^5sqrt(h)

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