Split 39304 into groups of three digits from the right — 39 | 304 — and use the groups to find 3√39304.

Question

Accepted Answer

34. The right-hand group 304 ends in 4, and 4³ = 64 is the only cube ending in 4, so the units digit of the root is 4. The left-hand group is 39, and 3³ = 27 < 39 < 64 = 4³, so the tens digit is the SMALLER bracketing number, 3. The root is 34 (check: 34³ = 39304). Choosing 44 takes the larger bracket by mistake.

Split 39304 into groups of three digits from the right — 39 | 304 — and use the groups to find $339304$ .

Step-by-Step Solution

Key idea: Cube root by prime factorisation

Master this chapter in 30 minutes a day.

More Class 8 Cubes and Cube Roots practice

Split 39304 into groups of three digits from the right — 39 | 304 — and use the groups to find 339304​.

Step-by-Step Solution

Key idea: Cube root by prime factorisation

Master this chapter in 30 minutes a day.

More Class 8 Cubes and Cube Roots practice

Split 39304 into groups of three digits from the right — 39 | 304 — and use the groups to find $339304$ .