Question

Show that 5+3 root 2 is irrational number

Answer 1

Given:root2 is irrational
Now,let us assume that 5 +3root2 is rational
So,
5+3root2 = a/b
3root2 = a/b-5 =a-5b/b
Root2 = a-5b/3b

But we know that root2 is irrational
So, our assumption was wrong.
Hence 5+3root2 is irrational.

Hence proved

Hope it helps you dear ☺️

Answer 2

Answer:Given:root2 is irrational

Now,let us assume that 5 +3root2 is rational

So,

5+3root2 = a/b

3root2 = a/b-5 =a-5b/b

Root2 = a-5b/3b

But we know that root2 is irrational

So, our assumption was wrong.

Hence 5+3root2 is irrational.

Hence proved

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