How to solve (-2sqrt(5)k)^(2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (-2sqrt(5)k)^(2) | Equatix

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Question

$${ \left(-2 \sqrt{ 5 } k \right) }^{ 2 }$$

Evaluate

$20k^{2}$

Solution Steps

Expand $\left(-2\sqrt{5}k\right)^{2}$.

$$\left(-2\right)^{2}\left(\sqrt{5}\right)^{2}k^{2}$$

Calculate $-2$ to the power of $2$ and get $4$.

$$4\left(\sqrt{5}\right)^{2}k^{2}$$

The square of $\sqrt{5}$ is $5$.

$$4\times 5k^{2}$$

Multiply $4$ and $5$ to get $20$.

$$20k^{2}$$

Show Solution

Expand

$20k^{2}$

Solution Steps

Expand $\left(-2\sqrt{5}k\right)^{2}$.

$$\left(-2\right)^{2}\left(\sqrt{5}\right)^{2}k^{2}$$

Calculate $-2$ to the power of $2$ and get $4$.

$$4\left(\sqrt{5}\right)^{2}k^{2}$$

The square of $\sqrt{5}$ is $5$.

$$4\times 5k^{2}$$

Multiply $4$ and $5$ to get $20$.

$$20k^{2}$$

Show Solution

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