The smallest number by which 28 should bemultiplied so as to get a perfect square isO2O 40307​

Mathematics · High School · Thu Jan 21 2021

Answered on

Determine the smallest number by which 28 should be multiplied to get a perfect square.

Choices:

2, 4, 3, 7

Solution:

In order to determine the number by which 28 should be multiplied to get a perfect square, we simply multiply 28 by each number, then take its square root.

= (28)(2)

=√ 56  

= 7.48

 

= (28)(4)

=√112

=10.58

 

= (28)(3)

=√84

= 9.16

= (28)(7)

= √196

= 14

Hence only 7 results to a perfect square since when we took the square root of the number, the answer is a while number, not a decimal.

Final answer:

= 7