What is sqrt(\sqrt[3]{2(2^2))} ?

The solution to sqrt(\sqrt[3]{2(2^2))} is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(\sqrt[3]{2(2^2))}

simplify

2

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

= ((2 \cdot 2^{2})^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

= (2 \cdot 2^{2})^{\frac{1}{3} \cdot \frac{1}{2}}

\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}

= (2 \cdot 2^{2})^{\frac{1}{6}}

Simplify

2 \cdot 2^{2} : 2^{3}

Apply exponent rule:

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

2^{3} = 2^{0.5 \cdot 6} = (2)^{6}

Apply radical rule:

assuming

a \geq 0

= 2

2.17 \cdot 1 0^{- 4} \cdot 60

25 x

(5 a^{2} b^{4}) (2 a^{3} b^{5})

2^{l o g_{5} (x)}

e^{(- 15 x)} e^{(- 11)}

What is sqrt(\sqrt[3]{2(2^2))} ?
The solution to sqrt(\sqrt[3]{2(2^2))} is square root of 2