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Last updated on November 30th, 2024
The cube root of 1331 is the value which, when multiplied by itself three times (cubed), gives the original number 1331. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, designing structures, density and mass, used in day-to-day mathematics like exponents, etc.
The cube root of 1331 is 11. The cube root of 1331 is expressed as ∛1331 in radical form, where the “ ∛ “ sign" is called the “radical” sign. In exponential form, it is written as (1331)1/3. If “m” is the cube root of 1331, then, m3=1331. Let us find the value of “m”.
The cube root of 1331 can be found through various methods like:
The steps involved to find ∛1331 are
1331 = 11×11×11
∛1331 = ∛(11×11×11)
Here, for 1331, no remaining factors are there. We get one group of prime factor 11, i.e., (11×11×11).
So, 1331 is a Perfect cube. ∛1331=11.
The subtraction method involves subtracting successive odd numbers repeatedly.
Subtract the list of odd numbers → 1,7,19,37,61,91,127,169,217,271,331,397……..successively till we get a zero.
Step 1 — Subtract the 1st odd number : 1331–1 = 1330
Step 2 — Subtract the next odd number: 1330–7 = 1323
Step 3 — Subtract the next odd number: 1323–19 = 1304
Step 4 — Subtract the next odd number: 1304–37 = 1267
Step 5 — Subtract the next odd number: 1267-61 = 1206
Step 6 — Subtract the next odd number: 1206-91 = 1115
Step 7 — Subtract the next odd number: 1115-127 = 988
Step 8 — Subtract the next odd number: 988-169 = 819
Step 9 — Subtract the next odd number: 819-217 = 602
Step 10 — Subtract the next odd number: 602-271=331
Step 11 — Subtract the next odd number: 331-331=0
Here, the subtraction took place 11 times to reach zero.
Hence, the cube root of 1331 is 11.