How do I find the square root of something? i.e. 2025

DON'T answer; tell me how

You can guess and check -- play high-low by picking numbers and squaring them until you zero in on the correct one, or use the algorithm explained in the third Google result for 'calculate square root' entitled 'calculate square root without a calculator.

Most people enter the number and hit the square root key on a calculator.

To find a square root without a calculator, check these sites.

http://mathforum.org/dr.math/faq/faq.sqrt.by.hand.html

http://www.factmonster.com/ipka/A0932229.html

(Same as questioner)

Jack-
Thanks!
Ms. Sue-
Thanks! Only problem is my teacher's strict on using calculators or not.

memorize some squares

Ex.)
12^2 = 144

so...

sqrt(144) = ???

To find the square root of a number, like 2025, you can follow these steps:

1. Start by estimating: Think of a perfect square that is close to 2025. In this case, since 45 x 45 = 2025, we can estimate the square root to be close to 45.

2. Divide the number in pairs: Starting from the rightmost digit, divide the number into pairs. For 2025, we have 20 and 25.

3. Take the square root of the first pair: Find the nearest perfect square below 20, which is 16. The square root of 16 is 4.

4. Consider the second pair: Since we already evaluated the first pair, bring down the second pair (25 in this case).

5. Approximate the square root: To approximate the square root, think of a number to put after the decimal point that, when squared, is less than or equal to 25. In this case, the square root of 25 is 5.

6. Combine the results: Combine the whole number and decimal number to get the square root of 2025. Therefore, the square root of 2025 is 45.

You can double-check this by squaring 45 to see if it equals 2025.