Question

Simplify 36^1/2

Answer 1

sqrt(36)=6

Answer 2

1/2 = 0.5 so it's just to the power of 0.5.

Answer 3

exponent rule: you can convert exponent to radical form \[\huge\rm \sqrt[\color{red}{n}]{x^\color{blue}{m}}=x^\frac{ \color{blue}{m} }{\color{red}{ n} }\]
denominator becomes index of the radical

Answer 4

so\[\huge\rm 36^\frac{ \color{blue}{1} }{\color{reD}{ 2} } = \color{red}{\sqrt{36^\color{blue}{1}}}\]