What is sqrt(\sqrt{8*\sqrt{8)}} ?

The solution to sqrt(\sqrt{8*\sqrt{8)}} is 2\sqrt[8]{2}

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simplify sqrt(\sqrt{8*\sqrt{8)}}

simplify

8 \cdot 8

Decimal Notation

2.18101 \dots

Solution steps

88

Apply radical rule:

a = a^{\frac{1}{2}}

= ((88)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (88)^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (88)^{\frac{1}{4}}

8 = 22

Multiply the numbers:

8 \cdot 2 = 16

Apply radical rule:

assuming

a \geq 0, b \geq 0

2 a^{2} (4 a^{2})

- 10.28 \cdot 0.8 4^{- 2}

4^{x + 2}

1 e^{- (0.05626) (12)}

What is sqrt(\sqrt{8*\sqrt{8)}} ?
The solution to sqrt(\sqrt{8*\sqrt{8)}} is 2\sqrt[8]{2}