## Algebra 1

$30a^{4}$
$\sqrt 45 a^{7} \times \sqrt 20a$ We multiply the two square roots and bring them together under one square root $\sqrt (45 a^{7} \times 20a)$ We multiply the variables together and the numbers together $\sqrt (45\times 20 \times a^{7} \times a)$ $\sqrt (900 a^{8})$ ***Square root of 900 is 30 because 30 x 30 =900 ***Square root of $a^{8}$ is $a^{4}$ because $a^{4}$ x $a^{4}$ =$a^{8}$ $30a^{4}$