Question

Write the lowest rationalising factor of 15 - 3 root 2?

Answer 1

5 + root2 is the lowest rationalising factor

Answer 2

Lowest rationalising factor of 15 - 3 root 2 is $5 + \sqrt{2}$

Solution:

Given that,

We have to find the lowest rationalising factor of 15 - 3 root 2

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

From given,

$15-3\sqrt{2}\\\\Factor\ out\ 3\\\\3(5 - \sqrt{2})$

$Multiply\ by\ 5 + \sqrt{2} \\\\3(5 - \sqrt{2})(5 + \sqrt{2}) \\\\3( 5^2 - (\sqrt{2})^2)\\\\3(25 - 2)\\\\3(23)\\\\69$

Thus lowest rationalising factor of 15 - 3 root 2 is $5 + \sqrt{2}$

Learn more:

Write the lowest rationalising factor of :-

1) 15 - 3√2

2) √18-√50

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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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