Question

prove that 5-2root3 by 7 is irrational​

Answer 1

Answer:

Kya yr Root Mtlb hi irrational hota hai

Step-by-step explanation:

Mark as branily☺☺

Answer 2

$\rm \large \bold{Hola!}$

ProoF :

$\sf \large \: Let,$

$\sf \: \frac{5 - 2 \sqrt{3} }{7} = x \: \: ;\: \: \: is \: \: rational \: \: number$

$\sf \: Hence,$

$\sf \frac{5 - 2 \sqrt{3} }{7} = x$

$\implies \sf x = \frac{5}{7} - \frac{2 \sqrt{3} }{7}$

$\implies \sf \: \frac{5}{7} - x \: = \frac{2 \sqrt{3} }{7}$

$\implies \sf \: 35 - 7x \: = 2 \sqrt{3}$

$\implies \sf \: \frac{35 - 7x}{2} = \sqrt{3}$

$\sf \therefore \: rational \: \: no. \: = \: \: irrational \: \: no.$

$\sf \:and , \: it's \: \: not \: \: possible$

$\sf \: Hence, \: \: { \underline{ \boxed{ \sf{ \frac{5 - 2 \sqrt{3} }{7} \: \: is \: \: \: a \: \: irrational \: number }}}} \: \\ \\ \bf \: [ \: Proved \: ]$

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