Cubic root of 32768
WebMar 31, 2024 · Ex 7.2, 3 You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, … Web32768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. Upon grouping the factors we get. 13824 = ( 2 x 2 x 2) x ( 2 x 2 x 2) x ( 2 x 2 x 2) x ( 2 x 2 x 2) x ( 2 x 2 x 2) Taking one factor from each group. 32768 3 = 2 x 2 x 2 x 2 x 2. = 32. Hence, the required cube root …
Cubic root of 32768
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WebWhat is cube root? Definition of cube root. A cube root of a number a is a number x such that x 3 = a, in other words, a number x whose cube is a. For example, 6 is the cube root of 216 because 6 3 = 6•6•6 = 216, -6 is cube root of -216 because (-6) 3 = (-6)•(-6)•(-6) = -216. Perfect Cube Roots Table 1-100. See also our cube root table ... WebJun 29, 2024 · Answer: 32 Step-by-step explanation: Given : Number = 32768 To Find : cube root of 32768 Solution: We will use Prime Factorization to find cube root of 32768 2 32768 2 16384 2 8192 2 4096 2 2048 2 1024 2 512 2 256 2 128 2 64 2 32 2 16 2 8 2 4 2 2 1 So, Hence cube root of 32768 is 32. Advertisement
WebWhat is cube root? Definition of cube root. A cube root of a number a is a number x such that x 3 = a, in other words, a number x whose cube is a. For example, 3 is the cube … Web1. Find the cube root of each of the following numbers by prime factorisation: (i) 12167 (ii) 35937 (iii) 42875 (iv) 21952 (v) 373248 (vi) 32768 (vii) 262144 (viii) 157464 Solution: Thus, the cube root of 12167 is 23. Thus, the cube root of 35937 is 33. Thus, the cube root of 42875 is 35. Thus, the cube root of 21952 is 28. Thus, the cube root ...
WebFind the cube root of each of the following numbers by the prime factorisation method. (i) 64 Solution: 64 = 2×2×2×2×2×2 By grouping the factors in triplets of equal factors, 64 = (2×2×2)× (2×2×2) Here, 64 can be grouped into triplets of equal factors. ∴ 64 = 2×2 = 4 Hence, 4 is the cube root of 64. (ii) 512 Solution: 512 = 2×2×2×2×2×2×2×2×2 WebCalculation: Step 1- Split the given number 32768 into groups of three digits each from right to left. 2- First group is of last 3 digits forming number 768 and second group is of …
WebSep 2, 2024 · Similarly, guess the cube roots of 4913, 12167, 32768. Solution: (i) By grouping the digits, we get 1 and 331. We know that, since, the unit digit of cube is 1, the unit digit of cube root is 1. ∴ We get 1 as unit digit of the cube root of 1331. The cube of 1 matches with the number of second group. ∴ The ten’s digit of our cube root is ...
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