1
Question
Rationalise :
Root 3 + root 2 by 5 + root 2
Rationalise :
Root 3 + root 2 by 5 + root 2
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Solution
√ 3 + √ 2
------------
5 + √2
on multiplying both numerator and denomenator by (5 - √2)
(√ 3 + √ 2 )(5 - √2)
= -------------------------
(5 + √2)(5 - √2)
(5√3 - √6 +5√2 - 2 )
= -------------------------
(5)2 - (√2)2
(5√3 - √6 +5√2 - 2 )
= -------------------------
25 -2
= 1/23 (5√3 - √6 +5√2 - 2 ) Ans.
------------
5 + √2
on multiplying both numerator and denomenator by (5 - √2)
(√ 3 + √ 2 )(5 - √2)
= -------------------------
(5 + √2)(5 - √2)
(5√3 - √6 +5√2 - 2 )
= -------------------------
(5)2 - (√2)2
(5√3 - √6 +5√2 - 2 )
= -------------------------
25 -2
= 1/23 (5√3 - √6 +5√2 - 2 ) Ans.
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