Question

If x^2 = 10, what is the value of x?

a)± √10
b)± √20
c)±5
d)±20

Answer 1

The value of x given x^2 = 10 is ±√10, meaning x can be either the positive square root of 10 or the negative square root of 10.

Step-by-step explanation:

If given the equation x^2 = 10, we are looking to solve for the value of x. Using the principle of square roots, we find that x can take on two values, since both a positive and a negative number squared will yield a positive result. Therefore, x can be either the positive square root of 10 or the negative square root of 10, which can be represented as ±√10. Thus, the correct answer to the question is option (a) ±√10.