The square root of a number is 2k. What is half of the number
Question 1 Report
The square root of a number is 2k. What is half of the number
Answer Details
Let's start by using some algebra to solve for the number in terms of its square root:
If the square root of a number is 2k, then we can write:
√x = 2k
Squaring both sides of the equation, we get:
x = (2k)^2
Simplifying the right-hand side, we have:
x = 4k^2
Now, we're asked to find half of the number, which is simply half of x:
1/2 * x = 1/2 * 4k^2
Simplifying, we get:
1/2 * x = 2k^2
So the correct answer is option D: 2k^2.
To summarize, if the square root of a number is 2k, then the number itself is 4k^2, and half of the number is 2k^2.
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