To simplify the expression -14 3√7, we need to find the simplified form of the radicals involved.
The prime factorization of 7 is 7 = 1 * 7.
The prime factorization of 56 is 56 = 2 * 2 * 2 * 7.
Therefore, we can simplify the expression as follows:
-14 3√7 = -14 * √(7) = -14 * √(1 * 7) = -14 * √(1) * √(7) = -14 * 1 * √(7) = -14√(7) = -14√7.
Therefore, the simplified form of the expression is -14√7.
None of the given options match this result, so none of the options simplify to -14√7.
Which expression simplifies to -14 3√7?
A. -6 3√56 - 2 3√7
B. -5 3√189 + 4 3√7
C. -6 3√56 + 2 3√7
D. -5 3√56 + 4 3√7
1 answer