The number of digits in the square root of 225 is _.
i. 1
ii. 4
iii. 2
iv. 3
The correct answer and explanation is:
The correct answer is iii. 2.
To understand why, let’s break it down. The square root of 225 is calculated as follows: 225=15\sqrt{225} = 15
Now, we look at the number of digits in the result. The number 15 has two digits: 1 and 5.
So, the number of digits in the square root of 225 is 2. This is because the square root of a number returns a value that, in this case, is a two-digit integer.
It is important to note that the number of digits in the square root depends on the value of the number being square-rooted. For example:
- The square root of 16 is 4, which has one digit.
- The square root of 100 is 10, which has two digits.
- The square root of 1000 is approximately 31.62, which has three digits before the decimal point.
When working with square roots, the number of digits in the result will depend on how large or small the original number is, as well as whether the result is an integer or a decimal. For perfect squares like 225, the result will be an integer, and counting the digits is straightforward. If the square root is not a perfect square, the number of digits could be larger due to the decimal places.
Thus, in this case, the number of digits in the square root of 225 is 2.