Simplify square root of 2324/19

Math
232419
Rewrite 232419 as 232419.
232419
Simplify the numerator.
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Rewrite 2324 as 22⋅581.
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Factor 4 out of 2324.
4(581)19
Rewrite 4 as 22.
22⋅58119
22⋅58119
Pull terms out from under the radical.
258119
258119
Multiply 258119 by 1919.
258119⋅1919
Combine and simplify the denominator.
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Multiply 258119 and 1919.
2581191919
Raise 19 to the power of 1.
25811919119
Raise 19 to the power of 1.
258119191191
Use the power rule aman=am+n to combine exponents.
258119191+1
Add 1 and 1.
258119192
Rewrite 192 as 19.
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Use axn=axn to rewrite 19 as 1912.
258119(1912)2
Apply the power rule and multiply exponents, (am)n=amn.
2581191912⋅2
Combine 12 and 2.
2581191922
Cancel the common factor of 2.
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Cancel the common factor.
2581191922
Divide 1 by 1.
258119191
258119191
Evaluate the exponent.
25811919
25811919
25811919
Simplify the numerator.
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Combine using the product rule for radicals.
219⋅58119
Multiply 19 by 581.
21103919
21103919
The result can be shown in multiple forms.
Exact Form:
21103919
Decimal Form:
11.05964689…
Simplify square root of 2324/19

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