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. 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)/. Taking one number from each pair and multiplying we get; √1962 H714 Determine the square root … See a solution process below: Q.1 Find the square root by prime-factorization method. Thew following steps will be useful to find square root of a number by prime factorization. Explanation: Lecture no 43 #Unitno2 #Square root of fraction by Prime Factorization. (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. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. Determine the square root of 196. Calculate the square root of 3844 and get 62. Solve your math problems using our free math solver with step-by-step solutions. 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. (iii) Combine the like square root terms using mathematical operations. Related Links : Is 3844 a prime number? And in the next step, we will combine the like square root terms using mathematical operation. What are the factors of 3844? 1) 4096 2) 8281 3) 529 Q.2 A welfare association collected $202500 as a donation from the residents. What is the largest straight line that can be drawn in the floor of the hall. 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. 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. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. The answer for the above question is NO. If each paid as many dollars as there were residents, find the number of residents. 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 Prime Factorization of 3,844 Answer: 3,844 is not a prime number. Is 3844 a perfect square?