Question

Prove that root 6+root 5 is Irrational​

Answer 1

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prove that root 5 +root 6 is an irrational number

to prove : + is an irrational number

for this we need to assume + is a rational number

so + =

- =

squaring both sides , we get

=

+ 5 - 2 = 6

– 1 = 2

= 2

=

Since p and q are integers (rational no.) , should also be a rational no.

But is an irrational number ,

So, it contradicts that + is a rational number

Hence + is an irr rational number