125-45+25

Rewrite 125 as 52⋅5.

Factor 25 out of 125.

25(5)-45+25

Rewrite 25 as 52.

52⋅5-45+25

52⋅5-45+25

Pull terms out from under the radical.

55-45+25

Rewrite 45 as 32⋅5.

Factor 9 out of 45.

55-9(5)+25

Rewrite 9 as 32.

55-32⋅5+25

55-32⋅5+25

Pull terms out from under the radical.

55-(35)+25

Multiply 3 by -1.

55-35+25

55-35+25

Subtract 35 from 55.

25+25

Add 25 and 25.

45

45

The result can be shown in multiple forms.

Exact Form:

45

Decimal Form:

8.94427190…

Simplify square root of 125- square root of 45+2 square root of 5