# Evaluate square root of 60/pi

60π
Rewrite 60π as 60π.
60π
Simplify the numerator.
Rewrite 60 as 22⋅15.
Factor 4 out of 60.
4(15)π
Rewrite 4 as 22.
22⋅15π
22⋅15π
Pull terms out from under the radical.
215π
215π
Multiply 215π by ππ.
215π⋅ππ
Combine and simplify the denominator.
Multiply 215π and ππ.
215πππ
Raise π to the power of 1.
215ππ1π
Raise π to the power of 1.
215ππ1π1
Use the power rule aman=am+n to combine exponents.
215ππ1+1
215ππ2
Rewrite π2 as π.
Use axn=axn to rewrite π as π12.
215π(π12)2
Apply the power rule and multiply exponents, (am)n=amn.
215ππ12⋅2
Combine 12 and 2.
215ππ22
Cancel the common factor of 2.
Cancel the common factor.
215ππ22
Divide 1 by 1.
215ππ1
215ππ1
Simplify.
215ππ
215ππ
215ππ
Combine using the product rule for radicals.
2π⋅15π
Move 15 to the left of π.
215ππ
The result can be shown in multiple forms.
Exact Form:
215ππ
Decimal Form:
4.37019372…
Evaluate square root of 60/pi