Add. simplifying by collecting like radical terms, if possible
4 √10 + 9 √ 10 =
What would you have if you add
4 apples plus 9 apples ?
what would you have if you add
4√10 plus 9√10 ?
To simplify the expression 4√10 + 9√10 by collecting like radical terms, you need to combine the terms that have the same radical, which in this case is √10.
First, rewrite the expression as follows:
4√10 + 9√10
Since both terms have the same radical (√10), you can add their coefficients. The coefficient of √10 in the first term is 4, and in the second term is 9. Therefore, add them together:
4√10 + 9√10 = (4 + 9)√10
Simplifying the coefficients gives:
(4 + 9)√10 = 13√10
So, the simplified expression is 13√10.