What is (3-2sqrt(3))/(sqrt(7)-\sqrt{5)} ?

The solution to (3-2sqrt(3))/(sqrt(7)-\sqrt{5)} is (3sqrt(7)+3sqrt(5)-2sqrt(21)-2sqrt(15))/2

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Popular >

simplify (3-2sqrt(3))/(sqrt(7)-\sqrt{5)}

simplify

\frac{3 - 2 3}{7 - 5}

\frac{3 7 + 3 5 - 2 21 - 2 15}{2}

Decimal Notation

- 1.13283 \dots

Solution steps

\frac{3 - 2 3}{7 - 5}

Multiply by the conjugate

\frac{7 + 5}{7 + 5}

= \frac{( 3 - 2 3 ) ( 7 + 5 )}{( 7 - 5 ) ( 7 + 5 )}

Expand

(3 - 23) (7 + 5) : 37 + 35 - 221 - 215

Expand

(7 - 5) (7 + 5) : 2

= \frac{3 7 + 3 5 - 2 21 - 2 15}{2}

12 \times \frac{1}{4}

\frac{1}{2} \times (- \frac{1}{2})

\frac{- 1}{- 2} \times (- 1)

\frac{65}{16}

\frac{3 18}{6}

What is (3-2sqrt(3))/(sqrt(7)-\sqrt{5)} ?
The solution to (3-2sqrt(3))/(sqrt(7)-\sqrt{5)} is (3sqrt(7)+3sqrt(5)-2sqrt(21)-2sqrt(15))/2