Add 5sqrt(10) + sqrt(10) (1 point)
sqrt(25)
О O sqrt(60)
O 6sqrt(20)
6sqrt(10)
5sqrt(10) + sqrt(10) simplifies to 6sqrt(10).
Therefore, the answer is 6sqrt(10).
To simplify the expression 5sqrt(10) + sqrt(10), follow these steps:
Step 1: Notice that both terms have sqrt(10) as a common factor.
5sqrt(10) + sqrt(10) = (5 + 1)sqrt(10)
Step 2: Simplify the expression inside the parentheses.
(5 + 1)sqrt(10) = 6sqrt(10)
So, the simplified expression is 6sqrt(10).
To simplify the expression 5sqrt(10) + sqrt(10), you can combine the two terms that contain the square root of 10.
Step 1: Rewriting the expression
5sqrt(10) + sqrt(10)
Step 2: Combining like terms
To combine the two terms, simply add their coefficients. In this case, both terms have the same square root, which is sqrt(10). Therefore, the combined coefficient is 5 + 1 = 6.
The simplified expression is 6sqrt(10).
Therefore, the correct answer is 6sqrt(10) (Option D).
Remember, when adding or subtracting terms with a square root, you can only combine them if they have the same radical.