Question

5. Using prime factorisation, find which of the following are periect cubes
a 9261 b 704 c 21125 d 27000
​

Answer 1

Answer:

a,d

Step-by-step explanation:

a 21×21×21 =9261

b 8.89×8.89×8.89=704

c 27.64×27.64×27.64= 21125

d 30×30×30=27000

Answer 2

$a.9261 = 3 \times 3 \times 3 \times 7 \times 7 \times 7 \\ 3 \times 7 \\ 21$

$c.21125 = 5 \times 5 \times 5 \times 13 \times 13 \\ while \: 13 \: is \: not \: paired \: 21125 \: is \: not \: a \: perfect \: cube \:$

$d.27000 = 5 \times 5 \times 5 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \\ 5 \times 2 \times 3 \\ 30$