Finding Square Root of A Number By Prime Factorization Square root of a number is the value that returns the original number on multiplied by itself. c) Short cut trick for find the square root for perfect square number. Give feed back, comments and please don’t forget to share it. = 2 × 49 Thank you sir, Your email address will not be published. Step 6 :  Compare the multiplied value ( i.e 72) with the 2nd part of the number  (i.e 70 ). This method applicable only the for the perfect square root numbers. Here lost digit is ” 4″ so last digit of Square root for that number=2 or 8. (iii) 1764 By prime Factorization, So write 4 that underneath the 6. Here quotient is 25 so new divisor 2 x 25= 50 and the new dividend is 2500. My self Sivaramakrishna Alluri. (vii) 5929 By prime Factorization, He provides courses for Maths and Science at Teachoo. Step 5: Now think suitable single digit number which is also taken as the next digit of the quotient. Take a example Find √650 to one decimal place. =32 – 0.23 = 31.77 (approximate value). = 4 × 4 × 4 It is the lowest natural number that cannot be represented as the sum of the squares of three integers. Thank you for detailed information. Here 7 > 6 . I Hope you liked it. Terms of Service. Ex 6.3.4 Find the square roots of the following numbers by the Prime Factorization Method. The new divisor is obtained by taking two times the quotient. Prime Factors of 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3, Collect the one factor out of each pair i.e = 2 x 2 x 2 x 3 = 24. Square Root Of 784? Step VI: The product obtained in step V is the required square root. = 77 Take the number ‘ 2 ” as the divisor and also as the quotient. 529 = 23 × 23 = 4 × 4 × 6 5929 = 7 × 7 × 11 × 11 Sol :perfect square closest to 625 is 25; we will take square root of 625 i.e. So our final answer is √650 =  25.49 = 25.5. Step 4 : Square root of  7056 is 84 or 86. Math Tricks | Quantitative aptitude | Basic Mathematics | Reasoning, Definition of square root : Mathematically, it is defined as ”  square root of a number is a value that, when multiplied by itself, gives the number”. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. = 88 Here quotient is 25 so new divisor 2 x 25= 50 and the new dividend is 2500. Here quotient is 2 so new divisor 2 x 2 = 4 and the new dividend is 250. Quite an eye opener. c) Short cut trick for find the square root for perfect square number. So it is group as 6 – 50. Square Root of a any number by the long division method. Remember the following table ( i,e squares of 1 to 9 numbers) and given simple logic. Teachoo is free. Finding square root by prime factorisation is an easy method. Learn Science with Notes and NCERT Solutions, Chapter 6 Class 8 Squares and Square Roots. Finally the quotient so obtained is the required square root of the given number. Step2 : Make pairs of similar factors. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. So take the single digit is 5. Step V: Find the product of factors obtained in step IV. Step 3 : Take the product of prime factors, then choosing one factor out of each pair. Here Square the 2, giving 4, and Square the 3, giving 9. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. The new divisor is obtained by taking two times the quotient. perfect square closest to 1009 is 32; we will take square root of 1024 i.e. Multiplication tricks and tips in mathematics | Shortcuts in multiplications, Volume and Surface Area of a Cylinder Formulas – Right Circular Cylinder, Surface Area and Volume of Sphere, Hemisphere, Hollow Sphere Formulas, Examples, Practice session on cube and cuboid Questions- Allmathtricks, Volume of cube and cuboid, Area of cube and cuboid | Allmathtricks, Ratio proportion and variation problems with solutions, Allmathtricks, Ratio proportion and variation formula with aptitude tricks – Allmathtricks, Relationship Between Arithmetic, Geometric, Harmonic Mean. Save my name, email, and website in this browser for the next time I comment. (v) 7744 By prime Factorization, Now Repeat steps (4), (5)and (6)  till all the periods have been taken up. So here not having the pairs so put the decimal in quotient place and drop down digits 00. Square root of 400 = 2 × 2 × 5 ∴ √1764= 2 × 3 × 7 Step IV: Take one factor from each pair. (ix) 529 By prime Factorization, Example : Find the Square root of 576 by prime factorization method. (i) 729We use prime factorization to find square root.Thus, 729 = 3 × 3 × 3 × 3 × 3 × 3Square root of 729 = 3 × 3 × 3 = 9 × 3 = 27 Ex 6.3, 4 Find the square roots of t = 32 – [ (1024-1009) / (2 x 32) ] = 25.5 (approximate value). = 96 Tricks for easy calculations | Math tricks multiplication of numbers plays very important role in Math.! Use prime factorization method i.e 7 ) we learn different methods for finding the square root number. Factorisation is an easy method applicable only the for the perfect square number for ” 70″ past! And please don ’ t forget to share it one decimal place sum of the number ( i.e ). Is 250 - At this time you verify one by multiplying 28xx28 to verify the like square root ”! Roots of the number is less then take small number down digits 00 to 9 numbers ) Identify! 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