Question

$\sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 = x} } } } }$
x=?​

Answer 1

Answer:

x = 2^31/32

Step-by-step explanation:

√2√2√2√2√2 = x

=> √2√2√2√2^3/2 = x

=> √2√2√(2×2^3/4 )= x

=> √2√2√(2^7/4) = x

=> √2√(2×2^7/8) = x

=> √2√(2^15/8) = x

=> √2×2^15/16 = x

=> √2^31/16 = x

=> 2^31/32 = x

Therefore,

x = 2^31/32

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