Subtract. Write your answer in simplest form. negative4
radical7–6 radical 112
First, recognize that √112 can be simplified because 112 is not in its simplest radical form. We can factor 112 to find its square factors.
112 = 16 × 7
Since 16 is a perfect square (4^2), we can simplify √112:
√112 = √(16 × 7) = √16 × √7 = 4√7
Now that we have √112 in terms of √7, we can combine it with the other term:
-4√7 - 6√112
= -4√7 - 6(4√7)
= -4√7 - 24√7
Now, since both terms are like terms (both have √7), we can combine them by subtracting their coefficients:
(-4 - 24)√7
= -28√7
Therefore, negative 4 radical 7 minus 6 radical 112 simplified is -28√7.