Table of Contents
- Square Root of Decimals
- What’s Next?
In the previous segment, we have seen how to find the square root of numbers using the long division method. In this segment, we will apply the same method to find the square root of decimals.
How to find the square root of a decimal number using the long division method?
Let us understand the steps in this method by finding the square root of 176.89
Step 1: Write the division as shown below:
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Step 2: Mark pairs of digits before the decimal, moving to the left and after the decimal moving towards the right.
Here, the pairs before the decimal are 76 and 1. And the pair after the decimal is 89
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Step 3: Find a perfect square equal to or just lower than the first pair from the left. Write the square root of this number to the left.
Here, the first pair is 1.
The perfect square lower and closest to 1 is 1.
12 = 1.
So, write the number 1 to the left of 176.89.
1
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Step 4: Multiply above and add below the same number.
Multiply 1 with 1 and write the product, that is 1, below 1. Add 1 with 1 and write the sum, that is 2, on the left side.
