Q:
# What is the square root of 72?

**The square root of 72 is approximately 8.49 when rounded to the nearest hundredth.** Since it is not a perfect square, it can most easily be solved by using a scientific calculator. If this option is unavailable, there are a few tricks you can do to arrive at a solution.

To figure this problem without a calculator, first identify the two nearest perfect squares that surround the number 72. A perfect square is a number that can be divided by a whole number and yield the same whole number. For instance, 25 divided by 5 equals 5. So the square root of 25 is 5. Other perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 36 (6 x 6) and 49 (7 x 7).

In the case of 72, the numbers are 8 and 9. Multiplying 8 by 8 gives you 64, and multiplying 9 by 9 results in 81. 72 falls in between. Next, divide 72 by either 8 or 9. For instance, 72÷8=9. Now, determine the average of that result and the original square you used (8 or 9) like so: (9+8)/2=8.5. Finally, continue repeating the previous two steps until you arrive at the desired accuracy.

Learn more about Exponents-
Q:
## What is the square root of 325?

A: The square root of 325 is 18.0277563773. This answer is derived by multiplying 18.0277563773 by 18.0277563773 which is equal to 325. Full Answer >Filed Under: -
Q:
## What is the square root of 61?

A: The square root of 61 is 7.81. A squared number means that number is multiplied by itself. The square root is the opposite. It indicates the number, when m... Full Answer >Filed Under: -
Q:
## How does MATLAB handle a square root?

A: The square root function in MATLAB is sqrt(a), where a is a numerical scalar, vector or array. The square root function returns the positive square root b ... Full Answer >Filed Under: -
Q:
## What is the square root of 10,000?

A: The square root of 10,000 is 100. The number 10,000 is a perfect square, so it is easy to calculate the square root using the prime factorization method. T... Full Answer >Filed Under: