Question

Find the smallest number by which 500 should be multiplied to get a perfect cube and also find cube root of perfect cube obtained.

Answer 1

write 500 as product prime numbers
500 = 2*2*5*5*5
= (2*2)*(5*5*5)

to make 500 perfect cube we have multiply it with 2

500*2 = (2*2*2)*(5*5*5)

1000= 2³ *5³

= (2*5)³
=(10)³

Answer 2

write 500 as product prime numbers

500 = 2*2*5*5*5

= (2*2)*(5*5*5)

to make 500 perfect cube we have multiply it with 2

500*2 = (2*2*2)*(5*5*5)

1000= 2³ *5³

= (2*5)³

=(10)³

thank u