For example, 32 is the square root of 1024 because 32 2 = 32•32 = 1024, -32 is square root of 1024 because (-32) 2 = (-32)•(-32) = 1024. 1. (i) Decompose the number inside the square root into prime factors. The same step can be applied 8 more times and the resultant value will be 2. What is square root? b 3 = a.. Thew following steps will be useful to find square root of a number by prime factorization. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Hence the prime factors of 1024 are 2, 2, 2, 2, 2, 2, 2, 2, 2, 2. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. Definition of square root. Join now. The tenth root of a number is the number that would have to be multiplied by itself 10 times to get the original number. 20051 20051 06.08.2017 Math Secondary School Use prime factorization method to find cube root of 10648 2 https://www.khanacademy.org/.../x2f8bb11595b61c86:radicals/v/5th-roots The cube root of a number a a a, denoted as a 3, \sqrt[3]{a}, 3 a , is the number b b b such that. (iii) Combine the like square root terms using mathematical operations. The result 2 cannot be divided any further as it is a prime number. b 3 = a. b^3=a. Estimating higher n th roots, even if using a calculator for intermediary steps, is significantly more tedious. Now, since 2 is not a perfect cube, therefore we cannot find it using the prime factorisation method. 1st method 1024/2=512 512/2=256 256/2=128 128/2=64=8*8 1024= 2*2*2*2*8*8= (2*2*8)(2*2*8)= 32*32 Square root of 1024=32 2nd method.. 1024 has 4 digits. So, Take two digits at a time for division. Estimating an n th Root. 10/3= 1 reminder. This definition is applicable to all the cube roots of natural numbers. Log in. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 1024 is divisible by the prime number 2 which results in 512. The fourth root of 1048576 is 32 and the fifth root … A square root of a number 'a' is a number x such that x 2 = a, in other words, a number x whose square is a. In maths, the square root of 1048576 is represented as this: $$\sqrt[]{1048576}=1024$$ Furthermore it is possible to write every root down as a power: $$\sqrt[n]{x}=x^\frac{1}{n}$$ The square root of 1048576 is 1024. Calculating n th roots can be done using a similar method, with modifications to deal with n.While computing square roots entirely by hand is tedious. Click here to get an answer to your question ️ Use prime factorization method to find cube root of 10648 1. Log in. The cube root of 1048576 is 101.59366732596. Prime Factors of 1024. The cube root of 2, denoted as 3 √2, is the value which gives the original number when multiplied by itself thrice. Ask your question. Join now. For example, the tenth root of …