# square root of 7744 by prime factorization

(i) … As the title suggests, the numbers deal with prime factors only. 5929 = 11 2 × 7 2. To ask any doubt in Math download Doubtnut: https://goo.gl/s0kUoe Question: Find the square roots of the following numbers by the Prime Factorisation Method. Square of Rational Numbers The square of a rational number (p/q, q ≠ 0) is the ratio of square of its numerator and the square of its denominator. 7744 is an odious number, because the sum of its binary digits is odd. Prime Factorization Of 7744; Is 7744 A Composite Number? There is another way of finding the square root of any perfect square. Square Root Of 7744? Share 0. if we do this with prime factorisation then factors are 2 *2 * 2*2 2*2 *11*11= 2*2*2*11 = 88 so square root of 7744 is 88. how to find square root of 841 by prime factorisation as finding factors of 841 will take so long time in exam; Find the least 4 digit perfect square number. For example: 7744 = (2 x 2) x (2 x 2) x (2 x 2) x (11 x 11), here all the primes in the prime factorization are in pairs, so 7744 is a perfect square number. Therefore, the square root of 5929 is √5929 = … 7744 > 7225. so √7744 = 88. then try to find factors. find the square root of 7744 by prime factorisation mathod first we find out the factors by prime factorisation method prime factors of 7744= 2× 2 × 2×2 × 2×2 so approximate square root is 82 or 88. you must know shortsut to find square of number ending with 5. CUBE NUMBERS. 62025. is ths number correct as it is not perfect square, its square root can be find out by division method. This second method is called the prime factors method. Illustration As an example, let us find the square root of 7744. Root square root of 2916 by prime factorization Get the answers you need, now! sqrt(7744) = 88 Find prime factors of 7744: 7744 = 2 * 3872 = 2^2 * 1936 = 2^3 * 968 = 2^4 * 484 = 2^5 * 242 = 2^6 * 121 = 2^6 * 11 * 11 = (2^3 * 11) * (2^3 * 11) = (2^3 * 11)^2 = 88^2 So sqrt(7744… (For your information, the square root of 7744 is 88.) Therefore, the square root of 7744 is √7744 = 2 × 2 × 2 × 11 = 88 (ii) 9604. The cubic root of 7744 … square root of 72* square root of 338 . 7744 is a wasteful number, since it uses less digits than its factorization. 85² = 7225. Is 7744 An Odd Number? Is 7744 A Prime Number? Solution: Prime factorization of 9604 is. 9604 = 2 2 × 7 2 × 7 2. Seven is a prime number. Therefore, the square root of 9604 is √9604 = 2 × 7 × 7 = 98 (iii) 5929. 7744 … Find the greatest 3 digit and 4 digit perfect square. Find the square roots of the following numbers by the Prime Factorization Method: (i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100. The sum of its prime factors is 34 (or 13 counting only the distinct ones). 1. The product of its digits is 784, while the sum is 22. Click hereto get an answer to your question ️ Find the square root of 7744 by the Prime Factorisation Method. The corresponding cyclic number is 142857. It is the lowest natural number that cannot be represented as the sum of the squares of three integers. Find the square root of 7744 by prime factorisation method Share with your friends. Is 7744 An Even Number? 4. About Number 7. Solution: Prime factorization of 5929 is.