Answer:
The correct option is 4.
Step-by-step explanation:
The given interpretation is square root of the cube root of 6. The mathematical expression is
[tex]\sqrt{\sqrt[3]{6}}[/tex]
It can be written as
[tex]((6)^{\frac{1}{3})^{\frac{1}{2}}[/tex]
Using the property of exponent, we get
[tex](6)^{\frac{1}{3}\times \frac{1}{2}}[/tex] [tex][\because (x^m)^n=(x)^{mn}][/tex]
Now simplify the power.
[tex](6)^{\frac{1}{6}}[/tex]
The simplified form of given expression is 6 to the power of 1 over 6. Therefore the correct option is 4.
