# How do you rationalize the denominator and simplify 5/(4sqrta^3)?

Mar 3, 2018

$\frac{5 \sqrt{{a}^{3}}}{4 {a}^{3}}$

#### Explanation:

$\frac{5}{4 \sqrt{{a}^{3}}} \times \frac{4 \sqrt{{a}^{3}}}{4 \sqrt{{a}^{3}}}$

$\therefore \sqrt{{a}^{3}} \times \sqrt{{a}^{3}} = {a}^{3}$

$\therefore \frac{{\cancel{20}}^{5} \sqrt{{a}^{3}}}{{\cancel{16}}^{4} {a}^{3}}$

$\therefore \frac{5 \sqrt{{a}^{3}}}{4 {a}^{3}}$