1.

What will be the value of ​

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Step-by-step EXPLANATION:

Hi there!

Given : x = √6 + √6 + √6 +... ---(i)

Then,

x = √6 + x --- From Eqn. (i)

On squaring both SIDES,

⇒ x² = 6 + x

⇒ x² - x - 6 = 0

⇒ x² - 3x + 2x - 6 = 0

⇒ x(x-3) + 2(x-3) = 0

⇒ x = 3 Or x = -2

But x is a natural number.

∴ x = 3

[ Thank you! for asking the QUESTION. ]

Hope it helps!


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