a2⋅3=300⋅3

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

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