What is \sqrt[3]{\sqrt[4]{228}} ?

The solution to \sqrt[3]{\sqrt[4]{228}} is \sqrt[12]{228}

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simplify \sqrt[3]{\sqrt[4]{228}}

simplify

Decimal Notation

1.57215 \dots

Solution steps

Apply radical rule:

= (22 8^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 22 8^{\frac{1}{4} \cdot \frac{1}{3}}

\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}

= 22 8^{\frac{1}{12}}

(35) (75)

7 e^{- x}

What is \sqrt[3]{\sqrt[4]{228}} ?
The solution to \sqrt[3]{\sqrt[4]{228}} is \sqrt[12]{228}