Question

Question
Estimate the cube root of 614125.​

Answer 1

Answer:

The final answer of cube of 614125 is. 85 .

Answer 2

Step-by-step explanation:

Solution:

Step 1: Make groups of three digits starting from the right.

614 (Group 2) 125 (Group 1)

Hence, the cube root of 614125 has 2 digits.

Step 2: The number in the Group-1 gives the units digit of the cube root.

Since 5 is the units digit in the number 125, the units digit of the cube root is also 5.

• Units digit of the cube root of 614125 is 5.

Step 3: Consider the number in Group -2 i. 614. We know that 8^3 = 512 and 9^3 = 729

And, 512 < 614 < 729

So, take the cube root of the smaller number, 512, as the tens digit of the required cube root.

Digit in the tens place of cube root of 614125 is 8.

Therefore, the cube root of 6, 14, 125 is 85.