Verified Answer :

The closest one is 5 to the power of 1 over 3.
sq rt of 3 = 1.732
sq rt of 5 = 2.236
5^1/3 =  1.667
5^1/6 = 0.833
5^2/3 = 8.333
5^3/2 = 62.5

Answer:

the correct answer is \(5^{\frac{1}{3}}\)

Step-by-step explanation:

given,

as options are given in the comment

it state that the value is given √3  and  √5

so, the value of √3  =  1.732

                         √5  = 2.236

now, from the options

\(5^{\frac{1}{3}} = 1.709\)

\(5^{\frac{1}{6}} = 1.307\)

\(5^{\frac{2}{3}} = 2.924\)

\(5^{\frac{3}{2}} = 11.181\)

hence ,\(5^{\frac{1}{3}} = 1.709\) is close to  √3  =  1.732

so, the correct answer is \(5^{\frac{1}{3}}\)