Square Root of Decimals


 
 
Concept Explanation
 

Square Root of Decimals

Step I: Obtain the number in the decimal form .

Step II: Place bar on the integral part as we do in the process of finding the square root of a perfect square of some natural number.

Step III: Make even number of decimal places by affixing a zero on the extreme right of decimal part, if necessary.

Step IV: Place bar on the decimal part on every pair of digits beginning with the first decimal place.

Step V: Start finding the square root by the long division method and put the decimal point in the square root as soon as the integral part is exhausted.

Illustration: Find the square root of 477.4225.

Solution: Here, the number of decimal places is already even.So, we place bars on the integral and decimal parts and proceed as given below:

Hence the square root of 477.4225. is 21.85 .

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Sample Questions
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Question : 1

A group of students decided to collect as many paise from each member of the group as is the number of members. if the total collection amounts to Rs 59.29, the number of members in the group is __________________________

Right Option : C
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Explanation
Question : 2

large sqrt {1.0816}=?

Right Option : A
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Explanation
Question : 3

The square root of frac{36}{5} correct upto two decimal places is _________________

Right Option : A
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Explanation
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