Simplify square root of 11/5

Math
115
Rewrite 115 as 115.
115
Multiply 115 by 55.
115⋅55
Combine and simplify the denominator.
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Multiply 115 and 55.
11555
Raise 5 to the power of 1.
115515
Raise 5 to the power of 1.
1155151
Use the power rule aman=am+n to combine exponents.
11551+1
Add 1 and 1.
11552
Rewrite 52 as 5.
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Use axn=axn to rewrite 5 as 512.
115(512)2
Apply the power rule and multiply exponents, (am)n=amn.
115512⋅2
Combine 12 and 2.
115522
Cancel the common factor of 2.
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Cancel the common factor.
115522
Divide 1 by 1.
11551
11551
Evaluate the exponent.
1155
1155
1155
Simplify the numerator.
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Combine using the product rule for radicals.
11⋅55
Multiply 11 by 5.
555
555
The result can be shown in multiple forms.
Exact Form:
555
Decimal Form:
1.48323969…
Simplify square root of 11/5

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