What is sqrt(32\sqrt{16\sqrt{8\sqrt{4)}}} ?

The solution to sqrt(32\sqrt{16\sqrt{8\sqrt{4)}}} is 16

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simplify sqrt(32\sqrt{16\sqrt{8\sqrt{4)}}}

simplify

321684

16

Solution steps

321684

Apply radical rule:

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

321684 = 321684

= 321684

32 = 42

= 421684

1684 = 22

= 42 \cdot 22

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 4 \cdot 2 \cdot 2

Multiply the numbers:

4 \cdot 2 \cdot 2 = 16

= 16

24 \times \frac{1}{2}

y^{2} + 9 y - 22

- 3 (x + 1)^{2}

\frac{1}{2 - 2}

\frac{1}{0.02 + 0.04 i}

What is sqrt(32\sqrt{16\sqrt{8\sqrt{4)}}} ?
The solution to sqrt(32\sqrt{16\sqrt{8\sqrt{4)}}} is 16