Question

Find the smallest number by which 2592 be multiplied to get a perfect square number.
1. What is the perfect square number so obtained?
2. What is the square root of the resulting number?
(please do with statement please)​

Answer 1

Step-by-step explanation:

find the LCM od 2592

2592 = 2*2*2*2*2*3*3*3*3

2592= (2*2)*(2*2)*(3*3)*(3*3)*2

since 2 is left unpaired

therefore we will multiply 2592 by 2

2592*2 = 2^2*2^2*3^3*3^3 *2 *2

5184=( 2*2*2*3*3)^2

5184= ( 72)^2

therefore 5184 is the perfect square number obtained which is square of 72

Answer 2

Answer:

2×2× 2×2× 2 ×3×3 ×3×3=2592

here,2 is not paired

so,it should be multipled by 2

1.2592×2=5184

2.and the square root of 5184 is

72

Step-by-step explanation:

hope this answer helps