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Question
Write the lowest rationalising factor of : 15 - 3√2
Solution
15 - 3√2
15 - 3√2 = 3( 5 - √2 )
= 3( 5 - √2 )( 5 + √2 )
= 3 x `[ 5^2 - (sqrt2)^2 ]`
= 3 x [ 25 - 2 ]
= 3 x 23
= 69
Its lowest rationalizing factor is 5 + √2.
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