Question

which of these choices lists all of the square roots of the number 25? after you pick your answer press go. a. \\(\sqrt{5}, -\sqrt{5}\\) b. 5, -5 c. 5 d. -5 e. \\(\sqrt{50}, -\sqrt{50}\\)

Explanation:

Step1: Recall square root definition

A square root of a number \( x \) is a number \( y \) such that \( y^2 = x \). For \( x = 25 \), we need \( y \) where \( y^2 = 25 \).

Step2: Solve for \( y \)

We know that \( 5^2 = 25 \) and \( (-5)^2 = (-5)\times(-5)=25 \). So the square roots of 25 are 5 and -5.

Step3: Evaluate options

• Option A: \( (\sqrt{5})^2 = 5

eq25 \), so incorrect.

• Option B: \( 5^2 = 25 \) and \( (-5)^2 = 25 \), correct.
• Option C: Only 5, misses -5, incorrect.
• Option D: Only -5, misses 5, incorrect.
• Option E: \( (\sqrt{50})^2 = 50

eq25 \), incorrect.

Answer:

B. 5, -5