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

The solution to 3/(sqrt(2)-\sqrt{5)} is -sqrt(2)-sqrt(5)

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

simplify

\frac{3}{2 - 5}

- 2 - 5

Decimal Notation

- 3.65028 \dots

Solution steps

\frac{3}{2 - 5}

Multiply by the conjugate

\frac{2 + 5}{2 + 5}

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

Expand

3 (2 + 5) : 32 + 35

Expand

(2 - 5) (2 + 5) : - 3

= \frac{3 2 + 3 5}{- 3}

Factor out common term

3

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

Cancel the common factor:

3

= \frac{2 + 5}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (2 + 5)

- (2 + 5) = - 2 - 5

= - 2 - 5

9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1

^{''}

\frac{12}{51}

49 + 2 4^{2}

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