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Popular >

simplify 2/3 (sqrt(2))^{3/2}

Solution

simplify

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

Solution

\frac{2 \cdot 2 ^{\frac{3}{4}}}{3}

+1

Decimal Notation

1.12119 \dots

Solution steps

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

(2)^{\frac{3}{2}} : 2^{\frac{3}{4}}

= \frac{2}{3} \cdot 2^{\frac{3}{4}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 \cdot 2 ^{\frac{3}{4}}}{3}

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Frequently Asked Questions (FAQ)

What is 2/3 (sqrt(2))^{3/2} ?
The solution to 2/3 (sqrt(2))^{3/2} is (2*2^{3/4})/3