Question

1/3√2−2√3 , Simplify the given number by rationalising the denominator.

Answer 1

1/3√2 - 2√3
multiply both sides with 3√2 + 2√3
in the denominator...u have
(3√2)×(3√2) - (2√3)×(2√3)
(9×2) - (4×3)
18-12
6
ans.[3√2 + 2√3 ] / 6

Answer 2

Given 1/(3√2 - 2√3 )

= (3√2+2√3)/[(3√2-2√3)(3√2+2√3)]

= (3√2+2√3)/[(3√2)²-(2√3)²]

[ Since , a²-b² = (a+b)(a-b) ]

= (3√2+2√3)/(18 - 12 )

= ( 3√2+2√3)/6

Or

= 3√2/6 + 2√3/6

= √2/2 + √3/3

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