Simplify ( square root of 225)/( square root of 3375)

Math
2253375
Combine 225 and 3375 into a single radical.
2253375
Cancel the common factor of 225 and 3375.
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Factor 225 out of 225.
225(1)3375
Cancel the common factors.
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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.
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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.
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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.
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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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