What is 7/(5sqrt(x)-2\sqrt{a)} ?

The solution to 7/(5sqrt(x)-2\sqrt{a)} is (7(5sqrt(x)+2sqrt(a)))/(25x-4a)

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simplify 7/(5sqrt(x)-2\sqrt{a)}

simplify

\frac{7}{5 x - 2 a}

\frac{7 ( 5 x + 2 a )}{25 x - 4 a}

Solution steps

\frac{7}{5 x - 2 a}

Multiply by the conjugate

\frac{5 x + 2 a}{5 x + 2 a}

= \frac{7 ( 5 x + 2 a )}{( 5 x - 2 a ) ( 5 x + 2 a )}

(5 x - 2 a) (5 x + 2 a) = 25 x - 4 a

= \frac{7 ( 5 x + 2 a )}{25 x - 4 a}

\frac{12 3 ^{2}}{12 3 ^{3}}

+ \frac{4}{3} π (8)^{3}

\frac{i}{( 4 - 5 i ) ^{2}}

\frac{i + 2}{i - 1}

\frac{4}{7 - 5}

What is 7/(5sqrt(x)-2\sqrt{a)} ?
The solution to 7/(5sqrt(x)-2\sqrt{a)} is (7(5sqrt(x)+2sqrt(a)))/(25x-4a)