Question

find the cube root of 1331 using prime factorisation.​

Answer 1

Answer:

11^3=1331

Step-by-step explanation:

Answer 2

Answer:

We know that 10³=1000

and Possible cube of 11³=1331

Since, cube of unit’s digit 1³ = 1

Therefore, cube root of 1331 is 11.

4913

We know that 7³=343

Next number comes with 7 as unit place 17³=4913

Hence, cube root of 4913 is 17.

23 ³ =12167

We know that 3³=27

Here in cube, ones digit is 7

Now next number with 2 as ones digit

12 ³=2197

And next number with 3 as ones digit

=12167

Hence cube root of 12167 is 23.

32768

We know that 2³=1728

Here in cube, ones digit is 8

Now next number with 2 as ones digit

12³ =1728

And next number with 2 as ones digit

22³=10648

And next number with 2 as ones digit

32 ² =32768

Hence cube root of 32768 is 32.

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