Question

Which of the following is equal to the square root of the cube root of 6 ?

Answer 1

Answer:

6 to the power of 1 over 6

Answer 2

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

$\sqrt{\sqrt[3]{6}}$

It can be written as

$((6)^{\frac{1}{3})^{\frac{1}{2}}$

Using the property of exponent, we get

$(6)^{\frac{1}{3}\times \frac{1}{2}}$         $[\because (x^m)^n=(x)^{mn}]$

Now simplify the power.

$(6)^{\frac{1}{6}}$

The simplified form of given expression is 6 to the power of 1 over 6. Therefore the correct option is 4.