What is sqrt(\sqrt{\sqrt{4096)}} ?

The solution to sqrt(\sqrt{\sqrt{4096)}} is 2sqrt(2)

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simplify sqrt(\sqrt{\sqrt{4096)}}

simplify

4096

22

Decimal Notation

2.82842 \dots

Solution steps

4096

4096 = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= 2^{2} \cdot 2

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= 2^{2} 2

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 22

(u - v)^{2} (u + v)^{2}

\frac{- 9}{3}

(\frac{2}{3})^{2} l e f t (\frac{2}{3})^{2}

e^{- \frac{1}{x}} (1 + \frac{1}{x})

1.6 x 1 0^{- 19}

What is sqrt(\sqrt{\sqrt{4096)}} ?
The solution to sqrt(\sqrt{\sqrt{4096)}} is 2sqrt(2)