Q. 2 C4.1( 7 Votes )

# Find the cube root of the following by looking at the last digit and using estimation.

704959

Answer :

Let n^{3} = 704959

Here, the unit’s place digit is 9;

∴ Unit’s place digit of n must be 9.

Let us split the number 704959 as 704 and 959

Now, 8^{3} < 704 < 9^{3}

∴ 80^{3} = 512000 < 166000 < 90^{3} = 729000

Since, the unit’s place digit of n is 9, the only possible number is 89.

Also, 89^{3} = 704969

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Find the cube root by prime factorization:

46656

Karnataka Board - Mathematics Part IFind the cube root of the following by looking at the last digit and using estimation.

166375

Karnataka Board - Mathematics Part IFind the cube root of the following by looking at the last digit and using estimation.

704959

Karnataka Board - Mathematics Part IFind the cube root by prime factorization:

15625

Karnataka Board - Mathematics Part IFind the cube root by prime factorization:

1728

Karnataka Board - Mathematics Part IFind the cube root of the following by looking at the last digit and using estimation.

91125

Karnataka Board - Mathematics Part IFind the nearest integer to the cube root of each of the following:

(i) 331776

(ii) 46656

(iii) 373248

Karnataka Board - Mathematics Part IFind the cube root by prime factorization:

3375

Karnataka Board - Mathematics Part IFind the cube root by prime factorization:

10648

Karnataka Board - Mathematics Part I