Question

find the rationalising factor of 5 root 128

Answer 1

The rationalizing factor for $\sqrt[5]{128}$ is $\sqrt[5]{8}$

Solution:

We need to 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 $\sqrt[5]{2\times2\times2}$

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

Rationalizing factor = $\sqrt[5]{2\times2\times2} = \sqrt[5]{8}$

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

Learn more:

Find the least rationalising factor of each of the following:

1) root 6

2) root 98

3) root 63

4) root 2+1

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How to find the rationalising factor of 7-3√5

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Answer 2

Answer:

R.F of ⁵128

⁵√128 × ⁵√8

=⁵√1025

= ⁵√4⁵

=4