What is 3/(sqrt(5)+\sqrt{6)} ?

The solution to 3/(sqrt(5)+\sqrt{6)} is -3sqrt(5)+3sqrt(6)

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Popular >

simplify 3/(sqrt(5)+\sqrt{6)}

simplify

\frac{3}{5 + 6}

- 35 + 36

Decimal Notation

0.64026 \dots

Solution steps

\frac{3}{5 + 6}

Multiply by the conjugate

\frac{5 - 6}{5 - 6}

= \frac{3 ( 5 - 6 )}{( 5 + 6 ) ( 5 - 6 )}

Expand

3 (5 - 6) : 35 - 36

Expand

(5 + 6) (5 - 6) : - 1

= \frac{3 5 - 3 6}{- 1}

\frac{3 5 - 3 6}{- 1} = - 35 + 36

= - 35 + 36

\frac{2}{9} + (- \frac{1}{2})

2 + - 18

(4 m - 5) + (- 6 m - 7 - 2 n)

(4 m - 5) + (- 6 m + 7 + 2 n)

(4 m - 5) + (- 6 m + 7 - 2 n)

What is 3/(sqrt(5)+\sqrt{6)} ?
The solution to 3/(sqrt(5)+\sqrt{6)} is -3sqrt(5)+3sqrt(6)