The cube root of 8 is 2. 8 is a perfect cube (2^3 = 8), so its cube root is the exact integer 2. This page shows the exact value, simplified radical form, decimal to 20 decimal places, step-by-step working, and a 3D cube visualisation....
CUBE ROOT OF 8
2
Exact — 8 is a perfect cube (2³ = 8)
Exact form
2
Decimal (6dp)
2.000000
Decimal (10dp)
2.0000000000
Is perfect cube?
Yes ✓
(∛8)³
8 ✓
Between
2 (exact)
STEP-BY-STEP
Find a number k such that k³ = 8
2 × 2 × 2 = 8 ✓
∛8 = 2 (exact)
FUN FACT
cbrt(8) = 2 exactly. 8 = 2^3 is a perfect cube. In computing, 8 bits = 1 byte. 2^3 = 8 is why octal (base-8) maps cleanly to binary.
CUBE WITH VOLUME = 8
NEARBY PERFECT CUBES
CUBE ROOT LAWS
8 is a perfect cube: 2^3 = 8. Perfect cubes always have exact integer cube roots.
Verify: 2 x 2 x 2 = 8. The cube root of 8 is exactly 2.
Memorise the perfect cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000. These have exact integer cube roots.
Check: (cbrt(8))^3 = 8 confirms the answer.
cbrt(8): perfect cube, 2 x 2 x 2 = 8. cbrt(8) = 2 (exact).
Bold bordered = perfect cubes (∛1=1, ∛8=2, ∛27=3)
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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.