Question

find all real square roots of 36. if there is more than one answer, separate them with commas. if there are none, click on
one\. 1,2,3,4,6,9,12,18,36

Explanation:

Step1: Recall square root definition

A real square root of a number \( x \) is a number \( y \) such that \( y^2 = x \). For \( x = 36 \), we need to find all real numbers \( y \) where \( y^2 = 36 \).

Step2: Solve the equation \( y^2 = 36 \)

Taking square roots on both sides, we get \( y=\pm\sqrt{36} \). Since \( \sqrt{36} = 6 \), then \( y = 6 \) or \( y=- 6 \) because \( 6^2=36 \) and \( (-6)^2 = 36 \).

Answer:

-6, 6