Advertisements
Advertisements
Question
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Given: `root(3)(8 + 27)` and `root(3)(8) + root(3)(27)`
`root(3)(8 + 27) = root(3)(35)` ...(1)
`root(3)(8) + root(3)(27)` = 2 + 3 = 5 ...(2)
From (1) and (2)
`root(3)(8 + 27) ≠ root(3)(8) + root(3)(27)`
APPEARS IN
RELATED QUESTIONS
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
675
By which smallest number must the following number be divided so that the quotient is a perfect cube?
1600
By taking three different values of n verify the truth of the following statement:
If n is odd, then n3 is also odd.
Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .
Find the cube root of the following natural number 35937 .
Find the cube root of the following integer −2744000 .
Find the cube-root of 9.261
Find the cube-root of -216 x 1728
Find the cube-root of `(729)/(-1331)`
Evaluate:
`root(3)(27) + root(3)(0.008) + root(3)(0.064)`
