Answer :

Square root of 5328 = 72.9931


Third decimal place = 72.993


Second decimal place = 72.99


One decimal place = 73.0(round figure of 72.9)



Step 1: Place a bar over every pair of digits starting from the one’s digit


Step 2: Find the largest number whose square is ≤ the number under the extreme left bar (72 <53< 82). Take this number as the divisor and the quotient with number under extreme left bar as the dividend. Divide and get the remainder.(4 in this case)


Step 3. Bring down the number under the next bar(i.e.,28 in this case)to the right of the remainder. So the new dividend is 428.


Step 4. Double the divisor and place this digit at ten’s place of new divisor (7+7 in this case)


Step 5. Guess the largest possible digit to fill the unit’s digit of new divisor which also become the new digit in the quotient, such that new divisor is multiplied to the new quotient the product is ≤ the dividend.


In this case 142 × 2 = 284. Get the remainder.


Step 6. Bring down the number under the next bar(i.e.,00 in this case) to the right of the remainder. So the new dividend is 14400. Put a decimal in quotient.


Step 7. Double the divisor and place this digit at ten’s place of new divisor (142+2 in this case).


Step 8. Guess the largest possible digit to fill the unit’s digit of new divisor which also become the new digit in the quotient, such that new divisor is multiplied to the new quotient the product is ≤ the dividend.


In this case 1449 × 9 = 13041. Get the remainder.


Step 9. Bring down the number under the next bar(i.e.,00 in this case) to the right of the remainder. So, new dividend is 135900


Step 10. Double the divisor and place this digit at ten’s place of new divisor (1449+9 in this case)


Step 11. Guess the largest possible digit to fill the unit’s digit of new divisor which also become the new digit in the quotient, such that new divisor is multiplied to the new quotient the product is ≤ the dividend.


In this case 14589 × 9 = 131301. Get the remainder.


Step 12. Bring down the number under the next bar(i.e.,00 in this case) to the right of the remainder. So the new dividend is 459900


Step 13. Double the divisor and place this digit at ten’s place of new divisor (14589+9 in this case).


Step 14. Guess the largest possible digit to fill the unit’s digit of new divisor which also become the new digit in the quotient, such that new divisor is multiplied to the new quotient the product is ≤ the dividend.


In this case 145983 × 3 = 439749. Get the remainder.


Step 15. Bring down the number under the next bar (i.e.,00 in this case) to the right of the remainder. So the new dividend is 2195100


Step 16. Double the divisor and place this digit at ten’s place of new divisor (145983+3 in this case).


Step 17. Guess the largest possible digit to fill the unit’s digit of new divisor which also become the new digit in the quotient, such that new divisor is multiplied to the new quotient the product is ≤ the dividend.


In this case 1459861 × 1 = 1459861. Get the remainder.


Step 18. The remainder is 735239, since, we were required to calculate the square root till 4th decimal place.


= 72.9931


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz | Squares and Square RootsGoprep Genius Quiz | Squares and Square RootsGoprep Genius Quiz | Squares and Square Roots34 mins
Squaring Using Geometry.Squaring Using Geometry.Squaring Using Geometry.43 mins
Finding Square Root of Numbers - IFinding Square Root of Numbers - IFinding Square Root of Numbers - I37 mins
RD Sharma | Squares and Square RootsRD Sharma | Squares and Square RootsRD Sharma | Squares and Square Roots39 mins
Know Shortcuts for Square RootKnow Shortcuts for Square RootKnow Shortcuts for Square Root34 mins
Lets learn about Perfect SquaresLets learn about Perfect SquaresLets learn about Perfect Squares40 mins
Squares of NumbersSquares of NumbersSquares of Numbers35 mins
Quiz | Squares and Square RootsQuiz | Squares and Square RootsQuiz | Squares and Square Roots41 mins
Champ Quiz | Square and Square rootsChamp Quiz | Square and Square rootsChamp Quiz | Square and Square roots32 mins
NCERT | Square and Square RootsNCERT | Square and Square RootsNCERT | Square and Square Roots42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the square rMHB - Mathematics (Old)

Write the followiMHB - Mathematics (Old)

Find the approximMHB - Mathematics (Old)

Find the square rMHB - Mathematics (Old)

Find the square rMHB - Mathematics (Old)

Find the approximMHB - Mathematics (Old)

Find the approximMHB - Mathematics (Old)

Find the approximMHB - Mathematics (Old)

Find the square rMHB - Mathematics (Old)

Find the square rMHB - Mathematics (Old)