Math, asked by mannu5389, 1 year ago

prove that 3 root 10 is an irrational number​

Answers

Answered by goyalnikunj2004
19

Answer:

Let's assume that 3√10 is rational no.

So,it can be expressed in the form of a/b form where a and b are integers.

So:  3√10=a/b

       √10=a/3b

Since a and b are integers ,so a/3b is rational no. which implies that 3√10 is also rational no.

But it contradicts the fact that √10 is an irrational no.

Therefore our assumption is wrong, 3√10 is an irrational no.

Answered by siddhip2611
1

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