## anonymous one year ago Simplify 36^1/2

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1. anonymous

sqrt(36)=6

2. ♪Chibiterasu

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

3. Nnesha

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

4. Nnesha

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