Question

What is simplest rationalizing factor for 5 root over 128

Answer 1

Correct answer is $2.64$

Explanation:

$^{5}\sqrt{128} = 128^{\frac{1}{5}}$

$\Rightarrow 2^{\frac{7}{5}} = 2\times2^{\frac{2}{5}}$

Correct answer is $\Rightarrow 2\times1.32 = 2.64$.

Answer 2

The rationalizing factor is $\sqrt[5]{8}$

Step-by-step explanation:

Consider the provided information.

We need find the rationalizing factor for $\sqrt[5]{128}$.

Rationalizing factor is a term with which a term is multiplied or divided to make the whole term rational.

The above number can be written as:

$\sqrt[5]{128}=\sqrt[5]{32}\times \sqrt[5]{2\times2}=2\sqrt[5]{4}$

The above number become a rational number if we multiply the obtained expression with $\sqrt[5]{2\times2\times2}$

$(2\sqrt[5]{4})(\sqrt[5]{2\times2\times2})=2\times2=4$

Hence, the rationalizing factor is $\sqrt[5]{8}$

#Learn more

Simplest rationalizing factor of root 8

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