What is 6/(sqrt(54)) ?

The solution to 6/(sqrt(54)) is (sqrt(2))/(sqrt(3))

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simplify 6/(sqrt(54))

simplify

\frac{6}{54}

\frac{2}{3}

Decimal Notation

0.81649 \dots

Solution steps

\frac{6}{54}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2}{54}

Factor

54 : 36

= \frac{3 \cdot 2}{3 6}

Cancel the common factor:

3

= \frac{2}{6}

Factor

6 : 23

= \frac{2}{2 3}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2}{2 3}

Cancel the common factor:

2

= \frac{2}{3}

\frac{2}{2 π}

\frac{10 !}{6 ! \cdot 4 !}

45 x^{11} - 20 x

5 + 45 + 180 - 80

ln (49) \cdot lo g_{7} (e^{2})