Please can anyone say the easy method to find square roots...
Answers
Answer:
The easiest way to find a square root is to use a calculator, but you can do it without one. Here's one way, using 12 as an example of the squared number: Pick a number that when squared, comes close to (but is less than) the number whose square root you're finding: 3 × 3 = 9
To find the square root of small numbers like 4, 9, 16, 25, etc. is an easy task. Because we already know from the multiplication table of 1 to 10, the number when multiplied by itself gives the squares, in a two-digit form. But if the number is in three-digit or four-digit, then it is difficult to find the root of these numbers, because we cannot remember the table for higher numbers. Let us find out the trick to determine the root of large numbers.
Example 1: Suppose we need to find the square root of large numbers such as 4489.
Step 1: The unit digit in this number is 9, which can be a unit digit of its square root number such as 3 or 7. Because 32 is 9 and 72 is 49.
Step 2: Now let us consider the first two digits that is 44 which comes between the squares of 6 and 7 because 62 < 44< 72
Step 3: We can assume that the ten’s digit of the square root of 4489 is the lowest among the two numbers i.e. 6 and we need to find the unit digit of the square root of the number 4489.
Step 4: Now, we need to find between 63 or 67 which is the square root of 4489.
Step 5: Since the ten’s digit is 6 and the next number is 7, we need to multiply both the numbers like 6 x 7 = 42 and since 42 is less than 44.
Step 6: Square root of 4489 will be the bigger number between 63 and 67 i.e. 67.
Therefore, √4489 = 67
Example 2: Let us have a look at another example, the square root of 7056.
Here is the step by step method:
- Now, consider the unit digit that is 6. Which all numbers have the unit digit 6 on their square roots. That are 4 and 6 because 42 is 16 and 62 is 36
- Now let’s consider the first two digits that is 70 which comes between the squares of 8 and 9 because of 82 < 70 <92
- We can assume that the ten’s digit of the square root of the 7056 is the lowest among the two numbers that is 8
- Now, we need to find the unit digit of the square root of the number 7056. For that, we need between 84 and 86 which is the square root of 7056
- Since the ten’s digit is 8 and the next number is 9, we need to multiply both the numbers like 8 x 9 = 72 and since 72 is bigger than 70
- Square root of 7056 will be the lesser number between 84 and 86 that is 84
Therefore, √7056 = 84
- Just like this method, you can get various square roots tricks pdf on the web for finding the square roots of large numbers and with these tricks, you could solve an equation within no time