Question

Prove that√ 6+√5 is Iraational​

Answer 1

Answer:

Step-by-step explanation:

This question can be solved in two ways. 1)Let us assume, to the contrary, that √5+√6 is irrational. So, this means that √5 is rational. ... So, this means that √6 is rational.

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Answer 2

Answer:

Let us assume, to the contrary, that √5+√6 is irrational.

Step-by-step explanation:

So we can find two integers numbers a and b(≠0), in the following way,

√5+√6 = a/b

Rearranging,

√5 = a/b - √6

= integer/integer - rational ...( as √6 is assume as rational)

So, this means that √5 is rational.

But this contradict the fact that √5 is irrational.

Our assumption is wrong.

Hence, √5 + √6 is irrational.