Question

. Find the smallest no. by which 333 should
be multiplied, so that the product becomes a
perfect cube.​

Answer 1

Step-by-step explanation:

2744= 14×14×14 = (14) power 3

3375 = 15×15×15 = (15) power 3

(14) power 3 <3333 < (15) power 3

2744 < 3333 < 3375

Therefore , difference between 3333 and 3375

3375 - 3333 = 42

When should 42 to be added to 3333 then it become perfect square

Therefore , 42 is smallest no which added to 3333 and make it perfect square

Answer 2

Answer:

Correct option is A)

By prime factorising 7803, 

we get, 7803=3×3×3×17×17

                       =33×172

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, power of 3 is 3 but power of 17 is 2.

So we need to multiply another 17 to the factorization to make 7803 a perfect cube.

Hence, the smallest number by which 7803 must be multiplied to obtain a perfect cube is 17.

Step-by-step explanation:

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