Question

without prime factorization find cube root of 15625​

Answer 1

Answer:

Through estimation method the cube root of 15625 is 25.

Step-by-step explanation:

(Solution in attachment above.)

Solution in text:

The cube root of 15625 has to be calculated.

We will make groups of three digits starting from the rightmost digit of the number 15625, as 15(bar) 625(bar). The groups are 15 and 625.

Considering the group 625,

625 ends with 5. We know that if the digit 5 is at the end of a perfect cube number, then its cube root will have its unit place digit as 5 only. Therefore, the unit place digit of the required cube root can be taken as 5.

Taking the other group i.e., 15,

We know that, 2^3 = 8 and 3^3 = 27

Also, 8 < 15 < 27

2 is smaller between 2 and 3. Therefore, 2 will be taken at the tens place of the required cube root.

Therefore; 3√15625 = 25

Answer 2

I have gave you a correct answer so please mark me as brainlist