7 square root 5 - 4 square root 5
7√5 - 4√5 = (7-4)√5 = 3√5
To subtract 4√5 from 7√5, we can combine like terms. Since both terms have the same radical (√5), we can subtract the coefficients in front of the radical.
7√5 - 4√5 = (7 - 4)√5 = 3√5
Therefore, the answer is 3√5.
To simplify the expression 7√5 - 4√5, you can combine the terms that have the same square root.
Here's how you can do it step by step:
Step 1: Identify the square root term in the expression. In this case, both terms have the square root of 5, so we can combine them.
Step 2: Combine the coefficients (numbers in front) of the square root terms. In this case, the coefficient for the first term is 7 and for the second term is -4.
7√5 - 4√5 = (7 - 4)√5
Step 3: Simplify the coefficient. 7 - 4 equals 3.
(7 - 4)√5 = 3√5
So, 7√5 - 4√5 simplifies to 3√5.