What is sqrt(2\sqrt{2\sqrt{2\sqrt{2)}}} ?

The solution to sqrt(2\sqrt{2\sqrt{2\sqrt{2)}}} is sqrt(2)sqrt(\sqrt{2)sqrt(2^{3/4)}}

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Popular >

simplify sqrt(2\sqrt{2\sqrt{2\sqrt{2)}}}

simplify

2222

2 2 2^{\frac{3}{4}}

Decimal Notation

1.91520 \dots

Solution steps

2222

222 = 2 2^{\frac{3}{4}}

= 22 2^{\frac{3}{4}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 2 2 2^{\frac{3}{4}}

- 2 \cdot \frac{2}{3}

\frac{45}{20}

- 7 m - 8 m - 9 m

x^{2} - \frac{1}{x ^{2}}

\frac{121}{2}

What is sqrt(2\sqrt{2\sqrt{2\sqrt{2)}}} ?
The solution to sqrt(2\sqrt{2\sqrt{2\sqrt{2)}}} is sqrt(2)sqrt(\sqrt{2)sqrt(2^{3/4)}}