(i) 96 and 120 (ii) 16 and 20 (iii) 396 and 1080 (iv) … ∴ √9216 = 2 × 2 × 2 × 2 × 2 × 3 729 = 3 x 3 x 3 x 3 x 3 x 3 = 3^6 Cube root of any number is 1/3 power of that number . Procedure. Solution: The two square numbers in between which ;3’ lies are 1 and 4. Preparation Products Step IV: Take one factor from each pair. Step III:Make pairs of prime factors such that both the factors in each pair are equal. Ex 6.3.4 Find the square roots of the following numbers by the Prime Factorization Method. We see that, 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 Since 2 & 3 occur in triplets ∴ 13824 is a perfect cube Cube root of 13824 = 2 × 2 × 2 × 3 = 4 × 6 = 24 √729 = 3 × 3 × 3 = 27. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. Find the square roots of the following numbers by the Prime Factorisation Method. 7921 = 89 x 89. = 42 Learn Science with Notes and NCERT Solutions, Chapter 6 Class 8 Squares and Square Roots. Brainly User. The prime factors of 3136 = 2*2*2*2*2*2*7*7. Step 2: Divide 729 by the previous result. Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. \(1\) and \(80\) There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others. Hence, verify = product of two numbers. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. The square root is just a reverse application of square, it means when a number multiplied 2-times by itself then it will result in the square and the root number of this result is called square root. Thus, 729 = 3 × 3 × 3 × 3 × 3 × 3 Prime factorization and estimation methods can be used to find the cube roots of perfect cubes only. For each of the Following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Find the square root of the following number by prime factorisation method (i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 (viii) 9216 (ix) 529 (x) 8100 Thus, when the factors multiply each other the result is the original polynomial. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. This is a step by step guide for finding the value of square root of 4096.For finding the square root of any number we have two methods. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. In this method, we need to list the prime factors of the given number and then make the pair of two same numbers. We can also complete the square to find the vertex more easily, since the vertex form is \(y=a{{\left( {x-h} \right)}^{2}}+k\). Real number use a tree diagram to find the square root of 729 by the! ) by 2 to get Solutions to their queries be multiplied by 7 729. kvargli6h and more... 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