What is 2/3 sqrt(27) ?

The solution to 2/3 sqrt(27) is 2sqrt(3)

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simplify 2/3 sqrt(27)

simplify

\frac{2}{3} 27

23

Decimal Notation

3.46410 \dots

Solution steps

\frac{2}{3} 27

Prime factorization of

27 : 3^{3}

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= \frac{2}{3} \cdot 33

Convert

3

to fraction

: \frac{3}{1}

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

Cross-cancel common factor:

3

= \frac{2}{1} 3

Divide the numbers:

\frac{2}{1} = 2

= 23

10 x - 6

10 x + 6

\frac{1}{6} \div \frac{5}{6}

4 π (6)^{2}

\frac{x ^{2} - 100}{x - 10}