7√5 - 4√5
To simplify the expression 7√5 - 4√5, we can combine like terms.
Both terms have the same radical (√5), so we can combine them.
7√5 - 4√5 can be rewritten as (7 - 4)√5.
Simplifying the coefficients, we get 3√5.
Therefore, 7√5 - 4√5 simplifies to 3√5.
√29 - √29
√29 - √29 simplifies to 0.
This is because both terms have the same radical (√29), so when we subtract them, the result is zero.
8√2 - 9√2
To simplify the expression 8√2 - 9√2, we can combine like terms.
Both terms have the same radical (√2), so we can combine them.
8√2 - 9√2 can be rewritten as (8 - 9)√2.
Simplifying the coefficients, we get -1√2.
Therefore, 8√2 - 9√2 simplifies to -√2.
9√2 - 8√2
To simplify the expression 9√2 - 8√2, we can combine like terms.
Both terms have the same radical (√2), so we can combine them.
9√2 - 8√2 can be rewritten as (9 - 8)√2.
Simplifying the coefficients, we get 1√2.
Therefore, 9√2 - 8√2 simplifies to √2.