How do you rationalize the denominator and simplify $\frac{5}{4 {\sqrt{a}}^{3}}$ $5/(4sqrta^3)$ ?

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Answer 1 · 2018-03-03T11:30:29

$\frac{5 \sqrt{a^{3}}}{4 a^{3}}$ $(5sqrt(a^3))/(4a^3)$

$\frac{5}{4 \sqrt{a^{3}}} \times \frac{4 \sqrt{a^{3}}}{4 \sqrt{a^{3}}}$ $5/(4sqrt(a^3))xx(4sqrt(a^3))/(4sqrt(a^3))$

$:.sqrt(a^3)xxsqrt(a^3)=a^3$

$:.(cancel20^5sqrt(a^3))/(cancel16^4a^3)$

$:.(5sqrt(a^3))/(4a^3)$

How do you rationalize the denominator and simplify 5/(4sqrta^3)54√a35/(4sqrta^3)?