# Simplify ( square root of 225)/( square root of 3375) 2253375
Combine 225 and 3375 into a single radical.
2253375
Cancel the common factor of 225 and 3375.
Factor 225 out of 225.
225(1)3375
Cancel the common factors.
Factor 225 out of 3375.
225⋅1225⋅15
Cancel the common factor.
225⋅1225⋅15
Rewrite the expression.
115
115
115
Rewrite 115 as 115.
115
Any root of 1 is 1.
115
Multiply 115 by 1515.
115⋅1515
Combine and simplify the denominator.
Multiply 115 and 1515.
151515
Raise 15 to the power of 1.
1515115
Raise 15 to the power of 1.
15151151
Use the power rule aman=am+n to combine exponents.
15151+1
Add 1 and 1.
15152
Rewrite 152 as 15.
Use axn=axn to rewrite 15 as 1512.
15(1512)2
Apply the power rule and multiply exponents, (am)n=amn.
151512⋅2
Combine 12 and 2.
151522
Cancel the common factor of 2.
Cancel the common factor.
151522
Divide 1 by 1.
15151
15151
Evaluate the exponent.
1515
1515
1515
The result can be shown in multiple forms.
Exact Form:
1515
Decimal Form:
0.25819888…
Simplify ( square root of 225)/( square root of 3375)

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