# Solve for a a^2* square root of 3=300* square root of 3 a2⋅3=300⋅3
Divide each term by 3 and simplify.
Divide each term in a2⋅3=3003 by 3.
a2⋅33=30033
Cancel the common factor of 3.
Cancel the common factor.
a2⋅33=30033
Divide a2 by 1.
a2=30033
a2=30033
Cancel the common factor of 3.
Cancel the common factor.
a2=30033
Divide 300 by 1.
a2=300
a2=300
a2=300
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±300
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 300 as 102⋅3.
Factor 100 out of 300.
a=±100(3)
Rewrite 100 as 102.
a=±102⋅3
a=±102⋅3
Pull terms out from under the radical.
a=±103
a=±103
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
a=103
Next, use the negative value of the ± to find the second solution.
a=-103
The complete solution is the result of both the positive and negative portions of the solution.
a=103,-103
a=103,-103
a=103,-103
The result can be shown in multiple forms.
Exact Form:
a=103,-103
Decimal Form:
a=17.32050807…,-17.32050807…
Solve for a a^2* square root of 3=300* square root of 3

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