What is (10)/(4+sqrt(6)) ?

The solution to (10)/(4+sqrt(6)) is 4-sqrt(6)

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simplify (10)/(4+sqrt(6))

simplify

\frac{10}{4 + 6}

4 - 6

Decimal Notation

1.55051 \dots

Solution steps

\frac{10}{4 + 6}

Multiply by the conjugate

\frac{4 - 6}{4 - 6}

= \frac{10 ( 4 - 6 )}{( 4 + 6 ) ( 4 - 6 )}

Expand

10 (4 - 6) : 40 - 106

Expand

(4 + 6) (4 - 6) : 10

= \frac{40 - 10 6}{10}

Factor out common term

10 : 10 (4 - 6)

= \frac{10 ( 4 - 6 )}{10}

Cancel the common factor:

10

= 4 - 6

lo g_{2} (25)

\frac{x}{2} \geq \frac{5}{x + 1} + 4

\frac{1}{2} x - \frac{1}{3} > 2

x^{2} - 12 x + 30 = 0

- 3 (2 x - 5) \leq 2 - (5 x + 6)