What is 2/3 sqrt(18) ?

The solution to 2/3 sqrt(18) is 2sqrt(2)

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simplify 2/3 sqrt(18)

simplify

\frac{2}{3} 18

22

Decimal Notation

2.82842 \dots

Solution steps

\frac{2}{3} 18

Prime factorization of

18 : 2 \cdot 3^{2}

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

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

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

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

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

Convert

3

to fraction

: \frac{3}{1}

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

Cross-cancel common factor:

3

= \frac{2}{1} 2

Divide the numbers:

\frac{2}{1} = 2

= 22

6 x^{3} - 9 x - x^{5}

\frac{3}{6 - 2}

4 x^{3} + 24 x^{2} + 36 x

\frac{5}{2} \times \frac{2}{5}