What is start root start fraction 81 over 100 end fraction end root?
81/100
Sq root of 81 = 9
Sq Root of 100 = 10
To simplify the expression "√(81/100)," follow these steps:
Step 1: Simplify the fraction.
81/100 cannot be simplified any further since 81 and 100 do not have any common factors other than 1.
Step 2: Take the square root.
√(81/100) = √(81)/√(100)
Step 3: Simplify the square roots.
√(81)/√(100) = 9/10
Therefore, the value of √(81/100) is 9/10.
To understand the expression "√(81/100)", let's break it down step by step:
1. Start with the fraction 81/100.
In this fraction, the numerator is 81 and the denominator is 100.
2. Take the square root of the fraction.
The square root (√) of a number is a value that, when multiplied by itself, gives the original number.
3. Simplify the square root of the fraction.
The square root of 81 is 9 because 9 * 9 = 81.
The square root of 100 is 10 because 10 * 10 = 100.
4. Substitute the simplified numbers back into the fraction.
√(81/100) becomes √(9/10).
So, the expression "√(81/100)" simplifies to "√(9/10)".
It is worth noting that the square root (√) symbol denotes the principal square root, which is the positive value. So, the answer is √(9/10) = 3/√10.