Question

(b) The smallest number by which 1944 should be multiplied so that it becomes a
perfect cube is-
(i)
3
(11) 2
(iii)
5
(iv)
4
Please solve

Answer 1

Step-by-step explanation:

Given that:

The smallest number by which 1944 should be multiplied so that it becomes a perfect cube is-

i)3 ii)2 iii)5 iv)4

Solution:To find the smallest number,

first do the prime factorisation of 1944

$1944 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3 \\ \\ 1944 = {2}^{3} \times {3}^{3} \times {3}^{2}$

Now,one can easily see that to convert 1944 in a perfect cube root one should multiply it with 3,so that

$1944 \times 3 = {2}^{3} \times {3}^{3} \times {3}^{3}$

Thus, that smallest number is 3.

Option (1) is correct.

Hope it helps you.

Answer 2

Answer:

Option (1) is correct.......