Math, asked by tripti07, 5 months ago

show that (5-√3) is an irrational no. if it is given that (√3) is a irrational no.​

Answers

Answered by archanapatil91
16

Answer:

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Step-by-step explanation:

Let us assume the given number be rational and we will write the given number in p/q form

⇒5− √3 = p/q

⇒ √3= 5q−p/q

We observe that LHS is irrational and RHS is rational, which is not possible.

This is contradiction.

Hence our assumption that given number is rational is false

⇒5− √3

is irrational

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