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find the cube root of following numbers by prime factorization method the numbers are 27000 15625 13824 110592 46656 175616 91125

Answer»

cube root of 27000=(30)^3=30; 15625=(25)^3=25; 13824=(24)^3=24, 110592=(48)^3=48; 46656=(36)^3=36; 175616=(56)^3=56 ; 91125=(45)^3=45;

1) 27000/3=9000/3=3000/3= =1000/2=500/2=250/5=50/5=10/2=5; 2)15625/5=3125/5=625/5= 125/5=25/5=5; 3) 13824/2=6912/3=2304/2= 1152/2=576/2=288/2=144/2=72/2=36/2=18/2=9/3=3; 4) 110592/2=55296/2= 27648/2=13824/2=6912/2= 3456/2=1728/2=864/2 = 432/2=216/2=108/2=54/2= 27/3=9/3=3;



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