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

6 to the power of 1 over 3
6 to the power of 2 over 3
6 to the power of 3 over 2
6 to the power of 1 over 6

2 Answers

3 votes

Answer:

6 to the power of 1 over 6

User Sritam
by
8.7k points
1 vote

Answer:

The correct option is 4.

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)^{(1)/(3))^{(1)/(2)}

Using the property of exponent, we get


(6)^{(1)/(3)* (1)/(2)}
[\because (x^m)^n=(x)^(mn)]

Now simplify the power.


(6)^{(1)/(6)}

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

User Jparg
by
7.3k points

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