Answer:
[tex] a = \frac { \sqrt { 5 } } { 1 5 } ,\:a = -\frac {\sqrt{5}}{15}[/tex]
Step-by-step explanation:
We are given the following expression which are to solve for a and give the answer in radical form:
[tex]\frac{2}{3a^2} =30[/tex]
To solve this, we will multiply both the sides by [tex]3a^2[/tex] to get:
[tex]\frac{2}{3a^2}\cdot \:3a^2=30\cdot \:3a^2[/tex]
Simplify it to get:
[tex]2=90a^2[/tex]
[tex] a = \frac { \sqrt { 5 } } { 1 5 } ,\:a = -\frac {\sqrt{5}}{15}[/tex]
