Simplify ( square root of 5)/( square root of 2+1)

Math
52+1
Add 2 and 1.
53
Multiply 53 by 33.
53⋅33
Combine and simplify the denominator.
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Multiply 53 and 33.
5333
Raise 3 to the power of 1.
53313
Raise 3 to the power of 1.
533131
Use the power rule aman=am+n to combine exponents.
5331+1
Add 1 and 1.
5332
Rewrite 32 as 3.
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Use axn=axn to rewrite 3 as 312.
53(312)2
Apply the power rule and multiply exponents, (am)n=amn.
53312⋅2
Combine 12 and 2.
53322
Cancel the common factor of 2.
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Cancel the common factor.
53322
Divide 1 by 1.
5331
5331
Evaluate the exponent.
533
533
533
Simplify the numerator.
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Combine using the product rule for radicals.
5⋅33
Multiply 5 by 3.
153
153
The result can be shown in multiple forms.
Exact Form:
153
Decimal Form:
1.29099444…
Simplify ( square root of 5)/( square root of 2+1)

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