What is \sqrt[3]{\sqrt[3]{18a^3}} ?

The solution to \sqrt[3]{\sqrt[3]{18a^3}} is \sqrt[9]{18}\sqrt[9]{a^3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{\sqrt[3]{18a^3}}

simplify

Solution steps

Apply radical rule:

= ((18 a^{3})^{\frac{1}{3}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (18 a^{3})^{\frac{1}{3} \cdot \frac{1}{3}}

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= (18 a^{3})^{\frac{1}{9}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

b^{2} - 6 b - 16 = 0

∣ - 4 y ∣ \leq 4

10 x^{2} + 2 = 282

\frac{1}{3} x + 10 = 55

\frac{1 - ( 2 + 3 i ) ^{2} ( 1 - 2 i )}{2 i ^{77} - i ^{726}}

What is \sqrt[3]{\sqrt[3]{18a^3}} ?
The solution to \sqrt[3]{\sqrt[3]{18a^3}} is \sqrt[9]{18}\sqrt[9]{a^3}