Question

prove that √6+√5 is irrrational​

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Abhinav3388

01.10.2018

Math

Secondary School

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Prove that 6+√5 is irrational.

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salonikumarisingh

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6+√5 is an irrational number because it could not be written in the p/q form or if an irrational number is added with a rational number it results in irrational number

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4.6/5

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debtwenty12pe7hvl

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prove 6+√5is a irrational nos

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

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

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 nos

By fact √5 is a rational nos

our assumption is wrong

6+√5 is irrational no

Step-by-step explanation:

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