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

The solution to simplify-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

- 0.82185 \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}

Apply the fraction rule:

- \frac{a}{- b} = \frac{a}{b}

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

Cancel the common factor:

3

= 2 - 5

\frac{7}{4} + \frac{5}{8}

(4 n^{4} \cdot n)^{2}

(z^{6})^{2}

x^{2} - 7 x^{4} + x^{6}

(w^{4} z^{3})^{5}

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