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CBSE Class 10 Answered

prove that root2 +root3 is irrational
Asked by M.s.srinidhi21 | 19 Mar, 2015, 06:10: PM
answered-by-expert Expert Answer

L e t space square root of 2 plus square root of 3 equals a over b space b e space a space r a t i o n a l space n u m b e r open parentheses square root of 2 plus square root of 3 close parentheses squared equals a squared over b squared open parentheses 5 plus 2 square root of 6 close parentheses equals a squared over b squared 2 square root of 6 equals a squared over b squared minus 5 H o w e v e r comma space 2 square root of 6 space b e space a space i r r a t i o n a l space n u m b e r a squared over b squared minus 5 comma space w h i c h space i s space a space c o n t r a d i c t 6 i o n. therefore space square root of 2 plus square root of 3 space i s space i r r a t i o n a l.

Answered by | 19 Mar, 2015, 07:00: PM

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CBSE 10 - Maths
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