Respuesta :
Answer: Option 2 that is [tex]\sqrt{60}[/tex]
Explanation:
let us suppose we have a y = [tex]x^{2}[/tex]
using exponent law [tex]x^{\frac{1}{n} }=\sqrt[n]{x}[/tex]
Using this law, we will change the given exponent to radical.
[tex]60^{\frac{1}{2} } \\\text{Where, x=60 and n=1/2}\\\therefore, 60^{\frac{1}{2}}=\sqrt{60}[/tex]
Hence, option 2 is correct
The expression equivalent to [tex]60^{\frac{1}{2}[/tex] is [tex]\sqrt{60}[/tex]
The rules of indices
The given expression is:
[tex]60^{\frac{1}{2}[/tex]
Note that according to the rule of indices:
[tex]a^\frac{1}{2}=\sqrt{a}[/tex]
Applying the rule of indices above to the given expression
[tex]60^\frac{1}{2}=\sqrt{60}[/tex]
Therefore, the expression equivalent to [tex]60^{\frac{1}{2}[/tex] is [tex]\sqrt{60}[/tex]
Learn more on the rules of indices here: https://brainly.com/question/170984
