How do you simplify $\frac{5}{- 5 - 3 \sqrt{3}}$ $5/(-5-3sqrt3)$ ?

Question

How do you simplify $\frac{5}{- 5 - 3 \sqrt{3}}$ $5/(-5-3sqrt3)$ ?

1 Answer

Impact of this question

1646 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-22T02:07:37

See a solution process below:

Explanation:

To simplify the expression we need to rationalize the denominator:

$\frac{5}{- 5 - 3 \sqrt{3}} \times \frac{- 5 + 3 \sqrt{3}}{- 5 + 3 \sqrt{3}} \Rightarrow \frac{- 25 + 15 \sqrt{3}}{25 - 15 \sqrt{3} + 15 \sqrt{3} - 9 {(\sqrt{3})}^{2}} \Rightarrow$ $5/(-5 - 3sqrt(3)) xx (-5 + 3sqrt(3))/(-5 + 3sqrt(3)) => (-25 + 15sqrt(3))/(25 - 15sqrt(3) + 15 sqrt(3) - 9(sqrt(3))^2) =>$

$\frac{- 25 + 15 \sqrt{3}}{25 - 0 - (9 \cdot 3)} \Rightarrow \frac{- 25 + 15 \sqrt{3}}{25 - 27} \Rightarrow$ $(-25 + 15sqrt(3))/(25 - 0 - (9 * 3)) => (-25 + 15sqrt(3))/(25 - 27) =>$

$\frac{- 25 + 15 \sqrt{3}}{- 2}$ $(-25 + 15sqrt(3))/-2$

Or

$\frac{25}{2} - \frac{15}{2} \sqrt{3}$ $25/2 - 15/2sqrt(3)$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{5}{- 5 - 3 \sqrt{3}}$ $5/(-5-3sqrt3)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 5−5−3√35/(-5-3sqrt3)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{5}{- 5 - 3 \sqrt{3}}$ $5/(-5-3sqrt3)$ ?