What is (5r-5sqrt(3r))/(5-3sqrt(3r^2)) ?

The solution to (5r-5sqrt(3r))/(5-3sqrt(3r^2)) is (5r-5sqrt(3r))/(5-3sqrt(3)r)

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simplify (5r-5sqrt(3r))/(5-3sqrt(3r^2))

simplify

\frac{5 r - 5 3 r}{5 - 3 3 r ^{2}}

\frac{5 r - 5 3 r}{5 - 3 3 r}

Solution steps

\frac{5 r - 5 3 r}{5 - 3 3 r ^{2}}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

3 r^{2} = 3 r^{2}

= \frac{5 r - 5 3 r}{5 - 3 3 r ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

r^{2} = r

= \frac{5 r - 5 3 r}{5 - 3 3 r}

(8 + 11) (8 - 11)

\frac{- 1}{- \frac{1}{2}}

x^{3} - 2 x^{2} - x

\frac{5 x ^{2}}{20 x ^{2} + 120 x}

(i - 1) (i + 1)

What is (5r-5sqrt(3r))/(5-3sqrt(3r^2)) ?
The solution to (5r-5sqrt(3r))/(5-3sqrt(3r^2)) is (5r-5sqrt(3r))/(5-3sqrt(3)r)