Q. 4

# Find the cube root of each of the following natural numbers:

(i) 343 (ii) 2744

(iii) 4913 (iv) 1728

(v) 35937 (vi) 17576

(vii) 134217728 (viii) 48228544

(ix) 74088000 (x) 157464

(xi) 1157625 (xii) 33698267

Answer :

(i) 343

By prime factorization method,

= =

(ii) 2744

By prime factorization method,

=

(iii) 4913

By prime factorization method,

=

(iv) 1728

By prime factorization method,

=

(v) 35937

By prime factorization method,

=

(vi) 17576

By prime factorization method,

=

(vii) 134217728

By prime factorization method,

=

(viii) 48228544

By prime factorization method,

=

= 2 × 2 × 7 × 13 = 364.

(ix) 74088000

By prime factorization method,

=

= 2 × 2 × 3 × 5 × 7 = 420.

(x) 157464

By prime factorization method,

=

= 2 × 3 × 3 × 3 = 54.

(xi) 1157625

By prime factorization method,

=

(xii) 33698267

By prime factorization method,

=

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Evaluate:

RS Aggarwal - Mathematics

Find the smallest number that must be subtracted from those of the numbers in question 2 which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?

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RS Aggarwal - Mathematics

Show that:

(i)

(ii)

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RS Aggarwal - Mathematics