en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{-3sqrt(3)}

Solution

simplify

Solution

- 3

+1

Decimal Notation

- 1.73205 \dots

Solution steps

Apply radical rule:

Apply rule:

a (- b) = - ab

Apply radical rule:

Apply radical rule:

= - 3^{\frac{1}{3}} \cdot 3^{\frac{1}{6}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

3^{\frac{1}{3}} \cdot 3^{\frac{1}{6}} = 3^{\frac{1}{3} + \frac{1}{6}}

= - 3^{\frac{1}{3} + \frac{1}{6}}

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

= - 3^{\frac{1}{2}}

Apply exponent rule:

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

3^{\frac{1}{2}} = 3

= - 3

Popular Examples

simplify 7\times (-1)simplify

7 \times (- 1)

simplify 60\times 2 simplify

60 \times 2

simplify 60\times 3 simplify

60 \times 3

simplify 1/4 \times 16 simplify

\frac{1}{4} \times 16

simplify a^1xy^2+a^2xy^2 simplify

a^{1} x y^{2} + a^{2} x y^{2}

Frequently Asked Questions (FAQ)

What is \sqrt[3]{-3sqrt(3)} ?
The solution to \sqrt[3]{-3sqrt(3)} is -sqrt(3)