What is (2(sqrt(6)-6))/(15) ?

The solution to (2(sqrt(6)-6))/(15) is (2sqrt(2)-4sqrt(3))/(5sqrt(3))

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simplify (2(sqrt(6)-6))/(15)

simplify

\frac{2 ( 6 - 6 )}{15}

\frac{2 2 - 4 3}{5 3}

Decimal Notation

- 0.47340 \dots

Solution steps

\frac{2 ( 6 - 6 )}{15}

Factor out common term

6 : 6 (1 - 6)

= \frac{2 6 ( 1 - 6 )}{15}

Factor the number:

15 = 3 \cdot 5

= \frac{2 6 ( 1 - 6 )}{3 \cdot 5}

Factor

6 : 32

= \frac{2 3 2 ( 1 - 6 )}{3 \cdot 5}

Apply radical rule:

a = a a

3 = 33

= \frac{2 3 2 ( 1 - 6 )}{3 3 \cdot 5}

Cancel the common factor:

3

= \frac{2 2 ( 1 - 6 )}{3 \cdot 5}

22 (1 - 6) = 22 - 43

= \frac{2 2 - 4 3}{3 \cdot 5}

= \frac{2 2 - 4 3}{5 3}

x^{\frac{6}{7}} (x^{2} - 5)

2 c k x (\frac{b x - b d}{a} - 2 b + z)

2 (2 + 15)

- z \frac{d}{d z} (\frac{a z ( z + a )}{( z - a ) ^{3}})

\frac{( x - 1 )}{2 \cdot ( x - 3 ) ^{2}}

What is (2(sqrt(6)-6))/(15) ?
The solution to (2(sqrt(6)-6))/(15) is (2sqrt(2)-4sqrt(3))/(5sqrt(3))