What is (sqrt(216))/9 ?

The solution to (sqrt(216))/9 is (2sqrt(2))/(sqrt(3))

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simplify (sqrt(216))/9

simplify

\frac{216}{9}

\frac{2 2}{3}

Decimal Notation

1.63299 \dots

Solution steps

\frac{216}{9}

Factor

216 : 324

= \frac{3 24}{9}

Factor the number:

9 = 3^{2}

= \frac{3 24}{3 ^{2}}

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

= \frac{24}{3}

Factor

24 : 38

= \frac{3 8}{3}

Apply radical rule:

a = a a

3 = 33

= \frac{3 8}{3 3}

Cancel the common factor:

3

= \frac{8}{3}

8 = 22

= \frac{2 2}{3}

2 x^{2} - 10 x - 28

\frac{5}{3} - \frac{4}{3}

(4 a - 5 b)^{3}

x^{4} + x^{2} + 25