# Simplify square root of 2324/19

232419
Rewrite 232419 as 232419.
232419
Simplify the numerator.
Rewrite 2324 as 22⋅581.
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.
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
258119192
Rewrite 192 as 19.
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.
Cancel the common factor.
2581191922
Divide 1 by 1.
258119191
258119191
Evaluate the exponent.
25811919
25811919
25811919
Simplify the numerator.
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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