Mark (✓) against the correct answer

Question:

Mark (✓) against the correct answer

By what least number should 324 be multiplied to get a perfect cube?

(a) 12

(b) 14

(c) 16

(d) 18

Solution:

(d) 18

$324=2 \times 2 \times 3 \times 3 \times 3 \times 3=2 \times 2 \times 3 \times(3)^{3}$

Therefore, to show that the given number is the product of three triplets, we need to multiply 324 by $(2 \times 3 \times 3)$.

In other words, we need to multiply 324 by 18 to make it a perfect cube.

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now