# Simplify square root of 3+ square root of 1/3

3+13
Simplify each term.
Rewrite 13 as 13.
3+13
Any root of 1 is 1.
3+13
Multiply 13 by 33.
3+13⋅33
Combine and simplify the denominator.
Multiply 13 and 33.
3+333
Raise 3 to the power of 1.
3+3313
Raise 3 to the power of 1.
3+33131
Use the power rule aman=am+n to combine exponents.
3+331+1
3+332
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
3+3(312)2
Apply the power rule and multiply exponents, (am)n=amn.
3+3312⋅2
Combine 12 and 2.
3+3322
Cancel the common factor of 2.
Cancel the common factor.
3+3322
Divide 1 by 1.
3+331
3+331
Evaluate the exponent.
3+33
3+33
3+33
3+33
To write 3 as a fraction with a common denominator, multiply by 33.
3⋅33+33
Combine fractions.
Combine 3 and 33.
3⋅33+33
Combine the numerators over the common denominator.
3⋅3+33
3⋅3+33
Simplify the numerator.
Move 3 to the left of 3.
3⋅3+33
433
433
The result can be shown in multiple forms.
Exact Form:
433
Decimal Form:
2.30940107…
Simplify square root of 3+ square root of 1/3

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