Question

Find the cube root of 166375 by estimation method


please give full method ​

Answer 1

Answer:

166375

Units digit of 166375 is 5.

Therefore the units digit of its cube root is 5.

Let us split 166375 as 166 and 375.

5^3 = 125 < 166 < 216 = 6^3

Hence 50^3 = 125000, < 166375 < 216000 = 60^3

∴ 3 √ 166375 lies between 50 and 60.

Since the units digit is 5 the only such number in 55

∴ 3 √ 166375 = 55

Answer 2

first divide 166375 by 5 and then divide by 11