Question

using estimation method find the cube root of 3723875

Answer 1

The cube root of 3723875 is 155!
Pls mark as Branliest

Answer 2

Answer:

Step-by-step explanation:

Even though i don’t like this method for large numbers, here it goes:-

If we group the number into groups of three starting from the right end (but only till we have 4 numbers remaining, ie 3723 since the number has more that 3 digits)  there are two groups: 875 and 3723. 875 ends with 5 and we know that only a number with the unit digit as five when cubed can give 5 as the unit digit again, so we write the unit digit of the cube root as 5.

For 3723, we have to estimate a bit, 100³ is 1000, so∛3723 is obviously greater than 10. So we find that 3723 lies between squares of 15 and 16:- 3375 < 3723 < 4096. So we take the lower limit of the inequality or 15 as the next two digits of the cube root. The answer, therefore is 155. Thank you.