Question

how to take out the square root of any number
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Answer 1

Answer:

How to Find Square Root?

∆ 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.

Step-by-step explanation:

* 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

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