Which of the following is equivalent to √20?
A) 4
B) 5^√2
C) 2^√5
D) 20
The answer is C) 2^√5.
To simplify √20, we notice that 20 can be split into 4 multiplied by 5, which can be written as 2^2 * 5.
Taking the square root of both sides, we have:
√20 = √(2^2 * 5)
Using the property of square roots, we can separate the factors inside the square root:
√20 = √(2^2) * √5
Simplifying the square root of 2^2, we get:
√20 = 2 * √5
Therefore, √20 is equivalent to 2 * √5, which matches option C).