Question

find all real square roots of -49. if there is more than one answer, separate them with commas. if there are none, click on
one\.

Explanation:

Step1: Recall the definition of square root

The square root of a number \( x \) is a number \( y \) such that \( y^2 = x \). For real numbers, we know that the square of any real number \( y \) (whether positive, negative, or zero) is non - negative, i.e., \( y^2\geq0 \) for all real numbers \( y \).

Step2: Analyze the number - 49

We are asked to find the real square roots of - 49. Let's assume that there exists a real number \( y \) such that \( y^2=-49 \). But from the property of real numbers, \( y^2\geq0 \) for all real \( y \), and \(- 49<0\). So, there is no real number \( y \) that satisfies \( y^2 = - 49 \).

Answer:

None