Question

prove that6+√5 are irrational​

Answer 1

To prove:-

• 6+√5 is irrational.

Proof:-

Let us assume that 6+√5 is rational.

So,

=> 6+√5 = p/q [where p and q are co-prime]

Rearranging,

=> √5 = p/q - √6

=> √5 = [p - √6q]/q

=> But [p - √6q]/q is a rational number.

=> Therefore √5 should be a rational number.

=> our assumption is wrong .

∴6+√5 is irrational number.

Hence proved

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