Approximate Square Root of any number which is not a Perfect square. Here lost digit is ” 4″ so last digit of Square root for that number=2 or 8. Here explain with example in step by step. He has been teaching from the past 9 years. Here our given number 650. Here our next digit of square root is ” 2 “. a) Square Root of a any number by the long division method. Short cut trick for find the square root for perfect square number. ∴ √529 = 23 Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. = 9 × 3 Here quotient is 2 so new divisor 2 x 2 = 4 and the new dividend is 250. Step 2 : Find the largest number whose square is equal to or just less than the first period or pair. He provides courses for Maths and Science at Teachoo. Step 6 : Compare the multiplied value ( i.e 6) with the 2nd par of the number (i.e 7 ). If the 2nd part of the number is less then take small number. ∴ √9604 = 2 × 7 × 7 Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. = 16 × 4 = 98 Teachoo provides the best content available! Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Thus, 400 = 2 × 2 × 2 × 2 × 5 × 5 (x) 8100 Seven is a prime number. Your email address will not be published. Is 784 An Odd Number? Percentage formulas | percentage calculations with examples Percentage calculation is one of the important part in mathematics.... […] Short Cut methods to square root calculation with examples […]. The new divisor is obtained by taking two times the quotient. (It is general method for square root calculation). = 42 = 6 × 15 Step IV: Take one factor from each pair. Take a example Find √650 to one decimal place. (v) 7744 By prime Factorization, Ex 6.3.4 Find the square roots of the following numbers by the Prime Factorization Method. perfect square closest to 1009 is 32; we will take square root of 1024 i.e. On signing up you are confirming that you have read and agree to = 27 Here 7 > 6 . =25 + 0.5 Last updated at Sept. 11, 2018 by Teachoo, Subscribe to our Youtube Channel - https://you.tube/teachoo, Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. Here our next digit of square root is ” 8 “. = 90. Step 2 : Leave the first two digits and take the next remaining digits. 25 in this calculations Here ( 2nd part of the number)  70 < 72 . So Take the less number i.e ” 8″ . (It is general method for square root calculation). a) Square Root of a any number by the long division method. - For example, if you see 27 and 29, you can tell that there is no factor of 27 or 29 in 576 since they are prime number and eliminate them. Thus, 729 = 3 × 3 × 3 × 3 × 3 × 3 Bring down the next pair of digits and this becomes the new dividend. = 4 × 24 = 96 Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. 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. 32 in this calculations Find the Square Root of  1009. Find the Square root of 576 by prime factorization method. Take the number ‘ 2 ” as the divisor and also as the quotient. I Hope you liked it. = 32 – [ (1024-1009) / (2 x 32) ] So write 4 that underneath the 6. (i) Decompose the number inside the square root into prime factors. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. Square Root Of 784? Thank you sir, Your email address will not be published. = 20 Sol :perfect square closest to 625 is 25; we will take square root of 625 i.e.

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