Question

show √2+√3 irrational​

Answer 1

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Answer 2

Answer:

We have to show that √3+√5 is irrational

We would prove it ny the contradiction method:-

If possible let √3+√5 be a rational number equal to a :-

√3+√5=a

(√3+√5)^2=a^2. (squaring both the sides)

3+2√15+5=a^2

8+2√15=a^2

√15=(a^2-8)/2

So, here a is rational se a^2 will be rational so

(a^2-8)/2 will be rational

So, √15 will be rational because √15=(a^2-8)/2

But it contradicts the fact that √15 is irrational

So our assumption is wrong that √3+√5 is rational

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Step-by-step explanation: