# Evaluate ( square root of 25/81)^2

(2581)2
Rewrite 2581 as 2581.
(2581)2
Simplify the numerator.
Rewrite 25 as 52.
(5281)2
Pull terms out from under the radical, assuming positive real numbers.
(581)2
(581)2
Simplify the denominator.
Rewrite 81 as 92.
(592)2
Pull terms out from under the radical, assuming positive real numbers.
(59)2
(59)2
Simplify the expression.
Apply the product rule to 59.
5292
Raise 5 to the power of 2.
2592
Raise 9 to the power of 2.
2581
2581
The result can be shown in multiple forms.
Exact Form:
2581
Decimal Form:
0.30864197…
Evaluate ( square root of 25/81)^2