Which of the following is equal to $\sqrt{9 \cdot 4}$?
A. $\sqrt{9} \cdot \sqrt{4}$
B. 18
C. $\sqrt{\frac{9}{4}}$
D. 36
Answer (1)
Evaluate the given expression: 9 c d o t 4 = 36 = 6 .
Evaluate option A: 9 c d o t 4 = 3 c d o t 2 = 6 .
Evaluate options B, C, and D: 18 , 4 9 = 1.5 , and 36 .
The expression 9 c d o t 4 is equal to option A, which is 9 c d o t 4 .
Explanation
Understanding the problem We are asked to find which of the given options is equal to 9 ⋅ 4 . Let's evaluate the given expression and each of the options to determine the correct answer.
Simplifying the given expression First, let's simplify the expression 9 ⋅ 4 . We have 9 ⋅ 4 = 36 = 6.
Evaluating the options Now, let's evaluate each of the options:
Option A: 9 ⋅ 4 = 3 ⋅ 2 = 6 .
Option B: 18 Option C: 4 9 = 4 9 = 2 3 = 1.5 Option D: 36
Finding the correct option Comparing the value of 9 ⋅ 4 with the values of the options, we see that 9 ⋅ 4 = 6 and option A is also equal to 6. Therefore, option A is the correct answer.
Final Answer Thus, the correct answer is 9 ⋅ 4 .
Examples
Understanding square roots is essential in various fields, such as engineering and physics, where calculating areas and distances is crucial. For instance, if you're designing a square garden with an area of 36 square meters, you need to find the length of each side. By calculating the square root of the area, 36 = 6 , you determine that each side should be 6 meters long. This simple calculation ensures accurate planning and efficient use of space.
