What is (9sqrt(33))/(27sqrt(11)) ?

The solution to (9sqrt(33))/(27sqrt(11)) is 1/(sqrt(3))

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simplify (9sqrt(33))/(27sqrt(11))

simplify

\frac{9 33}{27 11}

\frac{1}{3}

Solution steps

\frac{9 33}{27 11}

Factor the number:

27 = 9 \cdot 3

= \frac{9 33}{9 \cdot 3 11}

Cancel the common factor:

9

= \frac{33}{3 11}

Factor

33 : 113

= \frac{11 3}{3 11}

Cancel the common factor:

11

= \frac{3}{3}

Apply radical rule:

a = a a

3 = 33

= \frac{3}{3 3}

Cancel the common factor:

3

= \frac{1}{3}

\frac{1}{3} \times (- 6)

8 \times 8 \times 8 \times 8

+ 3 x^{6} y^{2} + 81 y^{2}

- - 31

- - 58

What is (9sqrt(33))/(27sqrt(11)) ?
The solution to (9sqrt(33))/(27sqrt(11)) is 1/(sqrt(3))