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CBSE Class 10 Answered

if a,b,c are rational such that a+b√2+c√3=0 then a+b+c=
Asked by reddyjaswamth | 10 Jan, 2024, 01:49: PM
answered-by-expert Expert Answer

Given:  a+b√2+c√3=0 

Here, RHS is 0.

So, LHS has to be zero.

We know that product of a non-zero rational and an irrational number is always an irrational number.

So, LHS is 0 only when a = b = c = 0.

Thus, a+b+c = 0

Answered by Renu Varma | 10 Jan, 2024, 03:23: PM
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