Question

show that 5-√3 is irrational.

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Answer 1

Answer:

10th

Maths

Real Numbers

Revisiting Irrational Numbers

Prove that 5 - √(3) is irr...

MATHS

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Asked on December 26, 2019 by

Md Ganz

Prove that 5−

3

is irrational

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ANSWER

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

⇒5−

3

=

q

p

⇒

3

=

q

5q−p

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

Answer 2

Answer:

it's a irrational number

Step-by-step explanation:

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