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Question Number 189137 by Shrinava last updated on 12/Mar/23

It is known that  x  is rational  x (√(28 + 3(√(28 + 3(√(28 + 3(√?)))))))  Find the dufference of possible vaules  of  x

$$\mathrm{It}\:\mathrm{is}\:\mathrm{known}\:\mathrm{that}\:\:\mathrm{x}\:\:\mathrm{is}\:\mathrm{rational} \\ $$$$\mathrm{x}\:\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{?}}}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{dufference}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{vaules} \\ $$$$\mathrm{of}\:\:\boldsymbol{\mathrm{x}} \\ $$

Commented by mr W last updated on 12/Mar/23

do you mean:  x= (√(28 + 3(√(28 + 3(√(28 + 3(√?)))))))

$${do}\:{you}\:{mean}: \\ $$$$\mathrm{x}=\:\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{?}}}} \\ $$

Commented by BaliramKumar last updated on 12/Mar/23

7??

$$\mathrm{7}?? \\ $$

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