What is the square root of 35 to the nearest hundredth? A. 5.90 B. 5.91 C. 5.92 D. 5.93
The Correct Answer and Explanation is:
The square root of 35 to the nearest hundredth is 5.92, so the correct answer is:
C. 5.92
To understand how we arrive at this result, let’s break it down.
The square root of a number is the value that, when multiplied by itself, equals the original number. In this case, we want to find the square root of 35. Since 35 is not a perfect square, its square root will be an irrational number, meaning it cannot be expressed as a simple fraction and its decimal representation goes on forever without repeating.
To estimate or calculate the square root of 35 to the nearest hundredth, we can use a calculator or apply a method like the long division algorithm for square roots. Using a calculator is the quickest way for a precise answer. When you input √35, you get:
√35 ≈ 5.9160797831…
Now we need to round this decimal to the nearest hundredth. The hundredth place is the second digit to the right of the decimal point. In this case, it is the 1 in 5.91. We now look at the digit immediately after it, which is 6. Since 6 is greater than or equal to 5, we round the hundredth digit up by 1. Therefore, 5.91 becomes 5.92 when rounded to the nearest hundredth.
Understanding square roots and rounding is a fundamental part of mathematics, especially when dealing with non-perfect squares. Estimating square roots is helpful in geometry, algebra, and real-world applications like calculating distances, areas, and measurements where exact square roots may not be easily usable. Being able to round to the nearest hundredth allows for practical approximations that are accurate enough for most applications.
So, the square root of 35 rounded to the nearest hundredth is 5.92, making option C the correct choice
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