Question

Show that 5 -
$\sqrt{3}$
is irrational ​

Answer 1

Answer:

its irrational no.

Step-by-step explanation:

let us assume that

5-√3 is rational number

then it can be written in the form of p/q

so, 5-√3=p/q

-√3=p/q-5

√3=5-p/q

√3=5q-p/q

now, if p and q are integer then 5q-p/q is rational number

but √3 is irrational number

so, our assumption is wrong 5-√3 is irrational number

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