Subtract. Write your answer in simplest form.
negative 5 radical 3 minus 9 radical 3
To subtract numbers that contain square roots (radicals), you combine like terms. In this case, both terms are like terms because they contain the same radical part, √3 (radical 3). Therefore, you can combine them just as you would with algebraic like terms.
The expression you have is (-5√3) - (9√3)
To subtract these, you take the coefficient in front of the radical and perform the subtraction:
= (-5) - (9) * √3
= -5√3 - 9√3
= (-5 - 9)√3
= -14√3
So, the result of negative 5 radical 3 minus 9 radical 3 is negative 14 radical 3, which is already in its simplest form.
thats wrong its not simplified
I apologize for any confusion. The expression negative 5 radical 3 minus 9 radical 3, in its simplest form, is indeed -14√3:
(-5√3) - (9√3) = -5√3 - 9√3
= (-5 - 9)√3
= -14√3
This is the simplified form because the numerical coefficients have been combined, and there is no further simplification that can be done to the square root of 3, as it is already in its simplest radical form. The coefficient -14 simply indicates that you have 14 times the square root of 3, in the negative direction.
If you are looking for a different kind of simplification or representation, please provide additional detail, and I'll be happy to help further. However, according to standard simplification rules, -14√3 is the simplified expression for the subtraction of -5√3 and -9√3.
To subtract these two terms: negative 5 radical 3 minus 9 radical 3, we need to simplify the expression.
First, let's combine the like terms, which in this case are the terms with the same radical term, radical 3.
So, we have negative 5 radical 3 minus 9 radical 3.
To subtract these terms, we can treat them like regular numbers and subtract the coefficients (the numbers in front of the radical) separately.
-5 - 9 = -14
Therefore, negative 5 radical 3 minus 9 radical 3 simplifies to -14 radical 3, which is the final answer.