# Solve for B 16=2 square root of 3*B

16=23⋅B
Rewrite the equation as 23⋅B=16.
23⋅B=16
Divide each term by 23 and simplify.
Divide each term in 23⋅B=16 by 23.
23⋅B23=1623
Simplify 23⋅B23.
Cancel the common factor of 2.
Cancel the common factor.
23⋅B23=1623
Rewrite the expression.
3⋅B3=1623
3⋅B3=1623
Cancel the common factor of 3.
Cancel the common factor.
3⋅B3=1623
Divide B by 1.
B=1623
B=1623
B=1623
Simplify 1623.
Cancel the common factor of 16 and 2.
Factor 2 out of 16.
B=2⋅823
Cancel the common factors.
Factor 2 out of 23.
B=2⋅82(3)
Cancel the common factor.
B=2⋅823
Rewrite the expression.
B=83
B=83
B=83
Multiply 83 by 33.
B=83⋅33
Combine and simplify the denominator.
Multiply 83 and 33.
B=8333
Raise 3 to the power of 1.
B=83313
Raise 3 to the power of 1.
B=833131
Use the power rule aman=am+n to combine exponents.
B=8331+1
Add 1 and 1.
B=8332
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
B=83(312)2
Apply the power rule and multiply exponents, (am)n=amn.
B=83312⋅2
Combine 12 and 2.
B=83322
Cancel the common factor of 2.
Cancel the common factor.
B=83322
Divide 1 by 1.
B=8331
B=8331
Evaluate the exponent.
B=833
B=833
B=833
B=833
B=833
The result can be shown in multiple forms.
Exact Form:
B=833
Decimal Form:
B=4.61880215…
Solve for B 16=2 square root of 3*B

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