Which is equal to $15 \sqrt{169}$?
Answer (2)
First, calculate the square root of 169: 169 = 13 .
Then, multiply the result by 15: 15 × 13 = 195 .
Compare the result with the given options.
The answer is 195 .
Explanation
Understanding the problem We are asked to find the value of $15
\sqrt{169}$. To do this, we first need to find the square root of 169 and then multiply the result by 15.
Calculating the square root The square root of 169 is 13, since $13
\times 13 = 169 . T h ere f ore , \sqrt{169} = 13$.
Multiplying by 15 Now, we multiply 15 by 13: $15
\times 13 = 195$.
Finding the answer Comparing our result with the given options, we see that 195 is one of the options. Therefore, $15
\sqrt{169} = 195$.
Examples
Understanding square roots and multiplication is crucial in many real-world scenarios. For instance, when calculating the area of a square, you need to square the length of one side. Conversely, if you know the area and need to find the side length, you take the square root. In construction, knowing how to calculate square roots helps in determining the dimensions of square or rectangular structures. Similarly, in physics, these calculations are used in various formulas, such as those involving energy and motion.
The value of 15 169 is 195, which is found by first calculating 169 = 13 and then multiplying by 15. Thus, 15 169 = 195 .
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