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