How do you simplify $\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))$ ?

Question

How do you simplify $\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))$ ?

1 Answer

Impact of this question

2733 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-17T07:21:41

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

Explanation:

$\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))$

Multiply both denominator and numerator by $\sqrt{8 a}$ $sqrt(8a)$ ,
$\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}} \times \frac{\sqrt{8 a}}{\sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))xx(sqrt(8a))/sqrt(8a)$
$= \frac{3 \sqrt{8 a} - 3 \sqrt{24 a^{2}}}{32 a}$ $=(3sqrt(8a)-3sqrt(24a^2))/(32a)$
$= \frac{6 \sqrt{2 a} - 6 a \sqrt{6}}{32 a}$ $=(6sqrt(2a)-6asqrt(6))/(32a)$
$= \frac{3 \sqrt{2 a} - 3 a \sqrt{6}}{16 a}$ $=(3sqrt(2a)-3asqrt(6))/(16a)$
$= \frac{3 \sqrt{2 a}}{16 a} - \frac{3 \sqrt{6}}{16}$ $=(3sqrt(2a))/(16a)-(3sqrt(6))/(16)$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 3−3√3a4√8a(3-3sqrt(3a))/(4sqrt(8a))?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{3 - 3 \sqrt{3 a}}{4 \sqrt{8 a}}$ $(3-3sqrt(3a))/(4sqrt(8a))$ ?