If 72k is a perfect cube the value of k is *
WebExpert Answer. 100% (5 ratings) Transcribed image text: (b) Find the least positive integer k such that 24.35.7.112. is a perfect cube (that is, it equals an integer raised to the third … Web784n is a perfect cube. 7. (a) Express 168 as a product of its prime factors, giving your answer in index notation. (b) Hence, find the smallest integer, k, such that 168k is a perfect cube. 8. (a) Find the prime factorization 616 and write your answers in index notation. (b) Hence, find the smallest value of n such that 616n is a perfect ...
If 72k is a perfect cube the value of k is *
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Web20 dec. 2024 · A so-called perfect cube is the result of multiplying a positive integer with itself two times (Kelley, 2007; Wikipedia, 2024). For example, 8 is a perfect cube because 2 x 2 x 2 = 8. Other perfect cube values are 125 (the result of 5 3), 343 (7 3), and 512 (8 3). Values that aren’t a perfect cube include 25 (2.9240 3 ≈ 25) and 100 (4.6416 ... Web1. Simplify: (a) (a+b)* +(a−b)" olat -a-1). 5. (a) Express 64x3 +144x²y + 108xy2 + 27 y3 as a perfect cube and find its value when x = 6,4 =- 6) Express a3-1-3a-1 as a perfect cube …
WebIf 72K is a perfect cube, then the value of K is: A 1 B 2 C 3 D 4 Medium Solution Verified by Toppr Correct option is C) If 72K is a perfect cube. 74K=2×2×2×3×3×K K=3 to make … Web8 dec. 2024 · Since k is an integer between 2 and 8,the possible values of k are 3,4,6. Since we have no definite value of k, the statement stands insufficient. (insufficient) Eliminate B On combining 1 & 2, K is a factor of 30 and K is a factor of 12 Since k is an integer between 2 and 8,the possible values of k are 3,6 Once again, there is no definite ...
Web19 mrt. 2024 · Answer: 3 is the answer Step-by-step explanation: 72k is a perfect cube. 72 = 2×2×2×3×3 3 didn't have triplet so, 3 is the answer verification :- 72k = perfect cube. = 72 (3) = 373,248 = 3√373248 = 72 hope this will helpful for you Advertisement Advertisement WebSolution Given : $$ 72K = x^{3} $$ Let us prime factorize 72 . $$72 = 2\times2\times 2\times 3\times3 $$..(i) For a number to be a perfect cube , it must have all the numbers in …
Web21 mrt. 2024 · Q-49. A perfect square must be of the form a^2. A perfect Cube must be of the form b^3. Therefore a number which is a perfect square as well as a perfect cube must have exponent multiple of 2 and 3 both i.e. Multiple of 6. Numbers of our interest will be of the form p^6. 1^6 = 1. 2^6 = 64. 3^6 = 729. 4^6 = 4096.
Web22 sep. 2024 · The sum of cubes of first 2 natural number is 9 which is lesser than K = 15 and sum of first 3 natural number is 36 which is just greater than K. So the answer is 3. Recommended: Please try your approach on {IDE} first, before moving on to the solution. hershey\\u0027s promo codeWebIf 72 k is a perfect cube, then the value of k is? Medium Solution Verified by Toppr Forperfectcubicrootof72×K72K=2×2×2×2×3×3×KifK=3Ans−Thenitisperfectcubicroot2×2×2×3×3×3=2 … mayer landmaschinen unterrothWeb26 nov. 2024 · A perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square. Now, 1575 = 3^2 * 5^2 * 7, so if k=7 then 1575k = (3 * 5 * 7)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are ... mayer larousseWeb15 nov. 2024 · One possible approach: cube = False for i in range (num+1): tmp = i ** 3 if num == tmp: print ('It is a perfect cube') cube = True break elif num < tmp: break else: if not cube: print ('Not a cube') Share Improve this answer Follow edited Nov 15, 2024 at 19:49 answered Nov 15, 2024 at 19:44 chepner 485k 70 507 664 Add a comment 0 hershey\u0027s premier white chocolate chipsWeb27 jul. 2024 · Answer: ️ 6×54×k=perfect cube ️ ️ Least value of k=3×6=18 So it will be a perfect cube Advertisement New questions in Math the price of shirt is 326 rs. and 50pasia the price of pant is 730.60 pasia find the total x shitt and y pant Anamika sold her guitar by making a profit of 1,300. hershey\\u0027s productsWebThe cube root of 0.000216 is: Correct 1: 0.6 2: 0.06 3: 0.77 4: 0.87 10: Find the least number by which 750 should be multiplied, so that it becomes a perfect cube. Correct 1: … hershey\u0027s powdered chocolate milk mixWeb3 nov. 2024 · A perfect cube is an integer (or whole number) that can be written as another integer to the power of 3. For example, 125 is a perfect cube, because it is the product of an integer multiplied by itself 2 times, 5 x 5 x 5 = 125 mayer landy tallmadge ohio