# Solve for: (1)/(sqrt(3))

## Expression: $\frac{ 1 }{ \sqrt{ 3 } }$

Use $a=\sqrt[n]{{a}^{n}}$ to transform the expression

$\frac{ \sqrt{ {1}^{2} } }{ \sqrt{ 3 } }$

$1$ raised to any power equals $1$

$\frac{ \sqrt{ 1 } }{ \sqrt{ 3 } }$

The quotient of roots with the same index is equal to the root of the quotient

$\sqrt{ \frac{ 1 }{ 3 } }$

Use $\frac{ 1 }{ {a}^{n} }={a}^{-n}$ to transform the expression

$\sqrt{ {3}^{-1} }$

Use $\sqrt[n]{{a}^{m}}={a}^{\frac{ m }{ n }}$ to transform the expression

${3}^{-\frac{ 1 }{ 2 }}$

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