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Popular >

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

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

Apply radical rule:

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

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

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

= 2

Popular Examples

factor x^3+y^3 factor

x^{3} + y^{3}

\frac{x + 4}{2} = 5

simplify-(1/3)^2 simplify

- (\frac{1}{3})^{2}

(4-x)/2+3x= 1/2

\frac{4 - x}{2} + 3 x = \frac{1}{2}

(3 x + 2)^{2} = 9

Frequently Asked Questions (FAQ)

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