answersLogoWhite

0

How do you work out square roots?

Updated: 4/27/2022
User Avatar

Wiki User

8y ago

Best Answer

The process of trial and error is sometimes sufficient if you know squares of common numbers.

For example, the square root of 14400 is 120, because you know that 12 x 12 is 144 and 10 x 10 is 100.

The actual (tedious) process involves multiple steps in a process akin to long division, where you locate quotients for each number of the root.

Fortunately, there are now calculators that provide this information instantly.

User Avatar

Wiki User

8y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

14y ago

There are several methods; you might just use trial and error, that is, try the squares of different numbers, getting closer and closer to the actual square root.


Another method consists of starting with an initial estimate, then dividing the number by the estimate. Then calculate the average between the initial estimate and the result, and use this for your next estimate. For example, you want to calculate the square root of 2, and use 1 as your initial estimate. 2 / 1 = 2, so you take the average of 1 and 2 for your next estimate. That would be 1.5. Next step: 2 / 1.5 = 1.33; average between 1.5 and 1.33 is 1.42. This is already fairly close to the square root of 2, but you can continue this process to get more significant digits. You double the amount of significant digits in each step, more or less.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you work out square roots?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the Square root of an isosceles triangle?

It is actually impossible to work out the square root of a shape but you can work out the square roots of the interior and exterior angles, the area and the perimiter


What is the square root of 11449?

The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07The square roots are -1.07 and +1.07


What is the square root of 2 square inches?

square inches do not have square roots only number have square roots.


What is the difference between perfect and nonperfect square roots?

Perfect square roots are square roots that have a whole number that can go into it perfectly. Nonperfect square roots are square roots that have decimal numbers going into it. Example: Perfect Square Root: 144- Square Root: 12 Nonperfect Square Root: 24- Square Root: About 4.89


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.


What are the square roots of 8100?

The square roots of 8100 are 90, -90


What do you call nonnegative square roots?

You call them principal square roots.


What are square roots of 64?

The square roots of 64 are +8 and -8.


How are positive square roots different?

The answer depends on "different from WHAT?" Positive cube roots, or negative square roots?


What keeps a square from moving?

Concrete.


What the square roots of -256?

There are no real square roots of -256. But using complex numbers the square roots of -256 are 16i and -16i.


Where do you use square roots in your daily life?

If you are packing items into a box, you can use square roots along with Pythagorean theorem to help determine if a smaller box could work with items packed diagonally.