Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Lecture no 43 #Unitno2 #Square root of fraction by Prime Factorization. Determine the square root of 196. 1) 4096 2) 8281 3) 529 Q.2 A welfare association collected $202500 as a donation from the residents. We can rewrite this expression as; How to find the area of triangle formed by the negative, https://www.quora.com/How-do-I-find-the-area-of-triangle-formed-by-the-negative-x-axis-and-the-tangent-and-the-normal-to-the-circle-x-2+-y-2-9-at-1-2-sqrt2-using-integration. Q.1 Find the square root by prime-factorization method. The answer for the above question is NO. Taking one number from each pair and multiplying we get; √1962 H714 Determine the square root … Related Links : Is 3844 a prime number? (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. sqrt(3384)  Simplified Root :      6 • sqrt(94)  Simplify :  sqrt(3384)  Factor 3384 into its prime factors            3384 = 23 • 32 • 47  To simplify a square root, we extract factors which are ... https://socratic.org/questions/what-is-the-sqrt-384-in-simplest-radical-form. What is the largest straight line that can be drawn in the floor of the hall. If each paid as many dollars as there were residents, find the number of residents. (iii) Combine the like square root terms using mathematical operations. (i) Decompose the number inside the square root into prime factors. Q.3 The length and width of a rectangular hall is 24m and 18m. Explanation: The Prime Factorization of 3,844 Answer: 3,844 is not a prime number. Is 3844 a perfect square? To find the square root using prime factorization first, we will resolve the number inside the square root into prime factors and then inside the square root, for every two same numbers multiplied and one number can be taken out of the square root. Calculate the square root of 3844 and get 62. Notice 196 = (2)(2)(7)(7) Since there is an even number of prime factors and they can be grouped in identical pairs we know that 196 has a square root that is a whole number. The following is the explanation: The above equation is, 2√b = b Now consider the LHS; 2√b = 2*√b …1 This means the number which is multipled to √b is 2. See a solution process below: https://socratic.org/questions/how-do-you-simplify-4sqrt250, https://socratic.org/questions/how-do-you-simplify-8sqrt384, https://www.tiger-algebra.com/drill/sqrt(3384)/. And in the next step, we will combine the like square root terms using mathematical operation. What are the factors of 3844? 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