Question

which of the following is equivalent to ( 60^{\frac{1}{2}} )?
( circ \frac{60}{2} )
( circ sqrt{60} )
( circ \frac{1}{60^2} )
( circ \frac{1}{sqrt{60}} )

Explanation:

Step1: Recall exponent rule

The rule for fractional exponents is \( a^{\frac{m}{n}}=\sqrt[n]{a^{m}} \). For \( a^{\frac{1}{2}} \), \( m = 1 \), \( n=2 \), so \( a^{\frac{1}{2}}=\sqrt[2]{a^{1}}=\sqrt{a} \).

Step2: Apply to \( 60^{\frac{1}{2}} \)

Using the rule, \( 60^{\frac{1}{2}}=\sqrt{60} \).

Answer:

\(\boldsymbol{\sqrt{60}}\) (the second option from the left)