509+85

Simplify the numerator.

Rewrite 50 as 52⋅2.

Factor 25 out of 50.

25(2)9+85

Rewrite 25 as 52.

52⋅29+85

52⋅29+85

Pull terms out from under the radical.

529+85

529+85

Simplify the numerator.

Rewrite 8 as 22⋅2.

Factor 4 out of 8.

529+4(2)5

Rewrite 4 as 22.

529+22⋅25

529+22⋅25

Pull terms out from under the radical.

529+225

529+225

529+225

To write 529 as a fraction with a common denominator, multiply by 55.

529⋅55+225

To write 225 as a fraction with a common denominator, multiply by 99.

529⋅55+225⋅99

Multiply 529 and 55.

52⋅59⋅5+225⋅99

Multiply 9 by 5.

52⋅545+225⋅99

Multiply 225 and 99.

52⋅545+22⋅95⋅9

Multiply 5 by 9.

52⋅545+22⋅945

52⋅545+22⋅945

Combine the numerators over the common denominator.

52⋅5+22⋅945

Multiply 5 by 5.

252+22⋅945

Multiply 9 by 2.

252+18245

Add 252 and 182.

43245

43245

The result can be shown in multiple forms.

Exact Form:

43245

Decimal Form:

1.35135962…

Simplify ( square root of 50)/9+( square root of 8)/5