# Put each fractional expression into standard form by rationalizing the denominator. Gives the fraction frac{9}{4th root}(2). Should I be multiplying the fraction by the starting denminator, or should I change the exponents?

Put each fractional expression into standard form by rationalizing the denominator. Gives the fraction Should I be multiplying the fraction by the starting denminator, or should I change the exponents?
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Brittany Patton
To get rid of 4th root you need three more 2s.
So we have to multiply numerator and denominator by $\sqrt[2×2×2]{}$
Answer: $\frac{\left(9\right)\left(4throot\right)\left(8\right)}{2}$
$\frac{9}{\sqrt[4]{2}}$
$=\frac{9×\sqrt[4]{2×2×2}}{\sqrt[4]{2}×\sqrt[4]{2×2×2}}$
$=\frac{9×\sqrt[4]{2×2×2}}{\sqrt[4]{2}×2×2×2}$
$\frac{9×\sqrt[4]{8}}{\sqrt[4]{{2}^{4}}}$
$\frac{9\sqrt[4]{8}}{2}$
Answer: $\frac{9\sqrt[4]{8}}{2}$