Use the estimation method to find 3√4913. 4913 lies between 10^3 = 1000 and 20^3 = 8000, so the tens digit is 1. Using the units rule (ends in 3 - root ends in 7), find the cube root.

Question

Use the estimation method to find 3√4913. 4913 lies between 10^3 = 1000 and 20^3 = 8000, so the tens digit is 1. Using the units rule (ends in 3 -> root ends in 7), find the cube root.

Accepted Answer

17. The first group of 4913 is 4, and 1^3 ≤ 4 < 2^3, so the tens digit is 1; the cube ends in 3, so the root ends in 7. Hence 3√4913 = 17, and 17^3 = 4913.

Use the estimation method to find $34913$ .
4913 lies between $1 0^{3} = 1000$ and $2 0^{3} = 8000$ , so the tens digit is 1.
Using the units rule (ends in 3 -> root ends in 7), find the cube root.

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More Class 8 Finding Cube Roots practice

Use the estimation method to find 34913​.4913 lies between 103=1000 and 203=8000, so the tens digit is 1.Using the units rule (ends in 3 -> root ends in 7), find the cube root.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Finding Cube Roots practice

Use the estimation method to find $34913$ .
4913 lies between $1 0^{3} = 1000$ and $2 0^{3} = 8000$ , so the tens digit is 1.
Using the units rule (ends in 3 -> root ends in 7), find the cube root.