If the square root of the cube root of some positive integer is 2, then find the integer which results in this answer.
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If the square root of the cube root of some positive integer is 2, then find the integer which results in this answer.
a. 4
b. 8
c. 16
d. 32
e. 64
According to your questions, your correct answer is e
Questions Explanation:
According to the data given in the question, the square root of the cube root of some
positive integer is 2.
Let this integer be ‘a’.
Then, according to the above mentioned condition,
((a)1/3)1/2 = 2
∴ Taking squares on both the sides of the equation we get, (a)1/3 = (2)2 = 4
Now, taking cubes on both the sides of the equation we get, (a) = (4)3 = 64
∴ a = 64
Hence, the correct answer is option – e.
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