To determine [tex]\( 5^{1/3} \)[/tex], we need to find the cube root of 5. Here, we are essentially looking for a number, let's call it [tex]\( x \)[/tex], such that [tex]\( x^3 = 5 \)[/tex].
Finding the exact value can be quite challenging without a calculator, but typically such roots are approximated using numerical methods.
Through calculations, the value of [tex]\( 5^{1/3} \)[/tex] is found to be approximately:
[tex]\[ 5^{1/3} \approx 1.7099759466766968 \][/tex]
This value represents the cube root of 5 to many decimal places, providing a precise understanding of the result.
