Simplify the expression sqrt(100/49)
To simplify the expression sqrt(100/49), we need to find the square root of the fraction 100/49.
The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.
So, the square root of 100/49 can be simplifies as follows:
sqrt(100/49) = sqrt(100) / sqrt(49)
= 10/7
Therefore, the simplified expression is 10/7.
To simplify the expression sqrt(100/49), we first simplify the fraction:
100/49 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.
So, 100/49 simplifies to 100/49.
Next, we can take the square root of the simplified fraction:
sqrt(100/49) = sqrt(100) / sqrt(49)
The square root of 100 is 10.
The square root of 49 is 7.
So, sqrt(100/49) simplifies to 10/7.
To simplify the expression sqrt(100/49), we can follow these steps:
1. Start by simplifying the numbers within the square root. The square root of 100 is 10, and the square root of 49 is 7.
2. Divide the simplified numbers inside the square root. 10 divided by 7 is equal to 1 with a remainder of 3.
3. Rewrite the expression with the simplified numbers. So sqrt(100/49) becomes 1 + 3/7, or simply 1 and 3/7.
Therefore, the simplified expression sqrt(100/49) is equal to 1 and 3/7.