Question

prove that under root 13 + under root 17 is an irrational number​

Answer 1

Answer:

We can prove this by the method of contradiction

Let us assume that √13 is a rational number

√13=p/q

Squaring both sides

13=p^2/q^2

13p^2=q^2 .........(1)

Q^2 is a multiple of 13

Q is also a multiple of 13

Let q^2=13x where x is an integer

Put in (1)

13p^2==(13x)^2

13p^2=169x^2

P^2 =169x^2/13

P^2=13x^2

P^2 is a multiple of 13

P is also a multiple of 13

So they have common multiple 13

But this contradicts our supposition

Hence our assumption is wrong

So √13 is an irrational number

Similarly you can prove for all irrational numbers

Hope it helps you

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Pls mark brainliest