Subtract 8√23 - √23. (1 point)
Responses
7√23
7 start root 23 end root
7√46
7 start root 46 end root
8√23
8 start root 23 end root
8√46
8√23 - √23 = 7√23
To subtract 8√23 - √23, follow these steps:
Step 1: Simplify the expression by combining like terms. Since both terms have the same radical (√23), the subtraction can be done by subtracting their coefficients: 8 - 1 = 7.
Step 2: Keep the radical term (√23) unchanged.
Therefore, the simplified expression is 7√23.
To subtract 8√23 - √23, we can use the distributive property.
First, let's simplify the expression inside the parentheses: 8√23 - √23. Since both terms have the same radicand (√23), we can combine them.
The coefficient of the first term is 8, and the coefficient of the second term is 1. When we subtract the two coefficients, we get 8 - 1 = 7.
Now, let's write the simplified expression: 7√23.
Therefore, the answer is 7√23.