85-45-80

Rewrite 45 as 32⋅5.

Factor 9 out of 45.

85-9(5)-80

Rewrite 9 as 32.

85-32⋅5-80

85-32⋅5-80

Pull terms out from under the radical.

85-(35)-80

Multiply 3 by -1.

85-35-80

Rewrite 80 as 42⋅5.

Factor 16 out of 80.

85-35-16(5)

Rewrite 16 as 42.

85-35-42⋅5

85-35-42⋅5

Pull terms out from under the radical.

85-35-(45)

Multiply 4 by -1.

85-35-45

85-35-45

Subtract 35 from 85.

55-45

Subtract 45 from 55.

5

5

The result can be shown in multiple forms.

Exact Form:

5

Decimal Form:

2.23606797…

Simplify 8 square root of 5- square root of 45- square root of 80