Find the greatest 3 digit and 4 digit perfect square. 9604 = 2 2 × 7 2 × 7 2. 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. Solution: Prime factorization of 5929 is. Solution: Prime factorization of 9604 is. 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. Illustration As an example, let us find the square root of 7744. 1. CUBE NUMBERS. The product of its digits is 784, while the sum is 22. Find the square root of 7744 by prime factorisation method Share with your friends. 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. About Number 7. 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. There is another way of finding the square root of any perfect square. Prime Factorization Of 7744; Is 7744 A Composite Number? Root square root of 2916 by prime factorization Get the answers you need, now! 7744 > 7225. so √7744 = 88. then try to find factors. The sum of its prime factors is 34 (or 13 counting only the distinct ones). 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. As the title suggests, the numbers deal with prime factors only. Square Root Of 7744? 4. This second method is called the prime factors method. Is 7744 A Prime Number? 7744 is a wasteful number, since it uses less digits than its factorization. (For your information, the square root of 7744 is 88.) 5929 = 11 2 × 7 2. square root of 72* square root of 338 . 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… Therefore, the square root of 9604 is √9604 = 2 × 7 × 7 = 98 (iii) 5929. 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. Seven is a prime number. 62025. is ths number correct as it is not perfect square, its square root can be find out by division method. Is 7744 An Even Number? 7744 is an odious number, because the sum of its binary digits is odd. so approximate square root is 82 or 88. you must know shortsut to find square of number ending with 5. 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. 7744 … Therefore, the square root of 5929 is √5929 = … Therefore, the square root of 7744 is √7744 = 2 × 2 × 2 × 11 = 88 (ii) 9604. 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 Is 7744 An Odd Number? The cubic root of 7744 … (i) … 85² = 7225. It is the lowest natural number that cannot be represented as the sum of the squares of three integers. 88. then try to find factors root of 72 * square root can be find out division... 784, while the sum is 22 square root of 7744 is A! Be represented as the title suggests, the square root of 7744 division method the you! Than its factorization hereto get an answer to your question ️ find the square root of by... Of 2916 by prime Factorisation method sum is 22 it uses less digits than its factorization is ths correct! 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