What is (6sqrt(2a)-6asqrt(6))/(32a) ?

The solution to (6sqrt(2a)-6asqrt(6))/(32a) is (3(sqrt(2)-sqrt(6)sqrt(a)))/(16sqrt(a))

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simplify (6sqrt(2a)-6asqrt(6))/(32a)

simplify

\frac{6 2 a - 6 a 6}{32 a}

\frac{3 ( 2 - 6 a )}{16 a}

Solution steps

\frac{6 2 a - 6 a 6}{32 a}

Factor out common term

6

= \frac{6 ( 2 a - a 6 )}{32 a}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 ( 2 a - a 6 )}{32 a}

Factor the number:

32 = 2 \cdot 16

= \frac{2 \cdot 3 ( 2 a - a 6 )}{2 \cdot 16 a}

Cancel the common factor:

2

= \frac{3 ( 2 a - a 6 )}{16 a}

Simplify

\frac{3 ( 2 a - a 6 )}{16 a} : \frac{3 ( 2 - 6 a )}{16 a}

= \frac{3 ( 2 - 6 a )}{16 a}

- 20 \times 4

\frac{75}{200}

180 + 20 + (5)^{3}

\frac{6 x ^{5}}{2 x ^{2}}

(x^{3})^{4}

What is (6sqrt(2a)-6asqrt(6))/(32a) ?
The solution to (6sqrt(2a)-6asqrt(6))/(32a) is (3(sqrt(2)-sqrt(6)sqrt(a)))/(16sqrt(a))