Rationalize $\frac{1}{t^\frac12+t^\frac32}$

algebra-precalculus

Continue: $$\dfrac{t^\frac12-t^\frac32}{t-t^3} = \dfrac{t^\frac 12(1-t)} {t(1-t^2)}=\dfrac{t^\frac 12(1-t)} {t(1+t)(1-t)} = \dfrac{\sqrt t} {t(1+t)} $$

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