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# The square root of a number is 2k. What is half of the number

### Question

The square root of a number is 2k. What is half of the number

### Options

A) $$\sqrt{\frac{k}{2}}$$

B) $$\sqrt{k}$$

C) $$\frac{1}{2}k^2$$

D) 2k2

## Discussion (2)

$$\sqrt{x} = 2k$$
Taking square of both sides
$$x = (2k)^{2}$$
$$x = 4 k^{2}$$
The half of x will give
$$\frac{x}{2} = \frac{4}{2} k^{2}$$
$$\frac{x}{2} = 2 k^{2}$$

$$\sqrt{x}$$ = 2k
x = 4$$x^{2}$$
Therefore, $$\frac{1}{2}x = \frac{4}{2} x^{2}$$