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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers1 Mark
Question
Write the lowestrationalising factor of :$3\sqrt2 + 2\sqrt3$
✓

Answer

$3\sqrt2 + 2\sqrt3$
$= ( 3\sqrt2 + 2\sqrt3 )( 3\sqrt2 - 2\sqrt3 )$
$= ( 3\sqrt2)^2 - (2\sqrt3)^2$
$= 9 x 2 - 4 x 3$
$= 18 - 12$
$= 6$
its lowest rationalizing factor is $3\sqrt2 - 2\sqrt3.$

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