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Let $x = \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \dots upto \infty}}}}$ and $y = \sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt{2 + \dots upto \infty}}}}$ , then x-y equals

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we have ,x2=2x and y2 = 2+y⇒x(x−2)=0 and (y−2)(y+1)=0⇒ x=2,y=2 [∵x,y>0]⇒x−y=0

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Let x=2222… upto ∞and y=2+2+2+2+… upto ∞, then x-y equals

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Let $x = \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \dots upto \infty}}}}$ and $y = \sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt{2 + \dots upto \infty}}}}$ , then x-y equals