you are told that 1331 is a perfect cube. can you can guess without factorisation what is its cube root similarly guess the cube root of 4913,12167,32768
Answers
1331 cube root is 1149131216732768 cube root is 32768 Brainly Teacher ★Solution:-For calculating the cube root of 4913, this number has to be separated in to groups starting from the rightmost digitThe groups are 4 and 913.Considering the group 913913 ends with 3 and we know that if the digit 3 is at the end of any perfect cube number, then its cube root will have 7 at its units place only. Therefore the digit at the units place of the required cube root is taken as 7.Now considering the other group 4We know that 1³ = 1 and 2³ = 8Also, 1 < 4 < 8So, 1 will be taken at the tens place. so the required cube root of 4913 is 17.∛4913 = 17Answer.Cube root of 12167We shall separate 12167 in to groups.The groups are 12 and 167167 ends with 7 and we know that if 7 is at the units place of any perfect cube number then its cube root will have 3 at its units place only. therefore, the digit at the units place of the required cube root is taken as 3.Now considering the other group 12.2³ = 8 and 3³ = 27And also 8 < 12 < 272 is smaller than 3, therefore 2 will be taken as the digit at tens place of the required cube root.Thus,∛12167 = 23Answer.Cube root of 32768We shall separate 32768 in to groups.The groups are 32 and 768.768 ends with 8. We know that if the digit 8 at the units place of perfect cube number, then its cube root will have 2 at its units place only. So, the digit at the units place of the required cube root is taken as 2.Now, considering the other group 32.3³ = 27 and 4³ = 64Ans also, 3 < 32 < 643 is smaller than 4, so 3 will be taken as the digit at the tens place of the required cube root. ∛32768 Hope it helps! Plss mark as brainliest
cube root of 4913=17
cube root of 12167=23
cube root of 32768=32