# Simplify ( square root of 50)/9+( square root of 8)/5 509+85
Simplify each term.
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
Write each expression with a common denominator of 45, by multiplying each by an appropriate factor of 1.
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
Simplify the numerator.
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

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