Question

find the cube root of 15625 of find the smallest number by which 1125 must be multiplies to obtain a perfect cube​

Answer 1

Answer: 25 , 3

Step-by-step explanation:

Find the cube root of 15625 = (15625^(1/3)) = 25  

(note - 25*25*25 = 15625)

Find the smallest number by which 1125 must be multiplies to obtain a perfect cube​:

Given :

The smallest number by which 1125 be multiplied to get a perfect cube.

To find:

The smallest number.

Solution :

Step 1 :

LCM of 1125 :

⇒ 1125 = 5 x 5 x 5 x 3 x 3

5 occur 3 times.

3 occur only 2 times.

Step 2 :

Multiplying 3 to get triplets.

⇒ 1125 x 3 = 5 x 5 x 5 x 3 x 3 x 3

⇒ 1125 x 3 = 3375

The smallest number is 3.