Q:
# What Are Some Tricks for Calculating Square Roots?

To estimate a square root without a calculator, determine the two perfect squares that come before and after the given number. Then using the square roots of the perfect squares as guides, estimate the given number’s square root based on its placement between the two perfect squares.

Continue Reading
Credit:
desifoto
iStock
Getty Images

For example, 34 is between the perfect squares of 25 (5 x 5) and 36 (6 x 6). Therefore, 34 is approximately 5.8, as 34 is closer to 36 than to 25. For a more accurate estimation, divide the given number (34) by the approximation (5.8). Average this answer (approximately 5.862) with the approximation (5.8) to yield a closer estimation of the square root of the given number (approximately 5.831). Continue this process until the desired accuracy of the estimate is reached.

Learn more about Exponents-
Q:
## How Do You Find a Number's Square Root?

A: Find the square root by finding the number that, when multiplied by itself, gives you the root number. For root numbers that are not perfect squares, there... Full Answer >Filed Under: -
Q:
## What Is the Square Root of 28?

A: The square root of 28 is 5.29, rounded to two decimal places, as 28 is not a perfect square. The square root of a perfect square is a whole number and not ... Full Answer >Filed Under: -
Q:
## What Is the Square Root of One?

A: The square root of 1 is 1, just as the square of 1 is 1. The square root of a number finds a result that, when multiplied by itself, equals the original nu... Full Answer >Filed Under: -
Q:
## What Is the Square Root of 576?

A: The square root of 576 is 24, since the number 576 is the product of 24 squared. The square root of a number is arrived at by obtaining the factors of the ... Full Answer >Filed Under: