Question

$1 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2........ \infty } } } } } } } }$
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Answer 1

Answer:

2

Step-by-step explanation:

√(2√(2(√(2√(2√(2...

=1*2½ * 2¼ * 2⅛ * 2^1/16 .....

= 2^(1/2 +1/4 +1/8 + 1/16 ....)

=2^ (a/1-r)

=2^(1/2/(1-1/2))

=2¹

=2