Simplify the expression: 7 square root of 5 - 3 square root of 80
To simplify the expression, first simplify the square roots:
7√5 - 3√80
5 can be written as 3*√5*√5. 80 can be written as 16*5, which can be further written as 4*4*5.
So,
7√5 - 3√(4*4*5)
= 7√5 - 3√(4^2)√5
= 7√5 - 3*4√5
= 7√5 - 12√5
= (7 - 12)√5
= -5√5
Therefore, the simplified expression is -5√5.