What is (2+sqrt(5))(-2+sqrt(5k)) ?

The solution to (2+sqrt(5))(-2+sqrt(5k)) is (2+sqrt(5))(-2+sqrt(5)sqrt(k))

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simplify (2+sqrt(5))(-2+sqrt(5k))

simplify

(2 + 5) (- 2 + 5 k)

(2 + 5) (- 2 + 5 k)

Solution steps

(2 + 5) (- 2 + 5 k)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= (2 + 5) (5 k - 2)

- 14 \cdot 4

2 - 4 y - 7 y^{2} + 5 y^{2} + 5 + 4 y - 2 y

\frac{x + 3}{3} + \frac{3 x - 2}{12}

(9 x + 18) - (- 7 x + 28)

\frac{3}{2} - \frac{1}{5}

What is (2+sqrt(5))(-2+sqrt(5k)) ?
The solution to (2+sqrt(5))(-2+sqrt(5k)) is (2+sqrt(5))(-2+sqrt(5)sqrt(k))