Question

show that the square of any positive integers cannot be the the form 6m +2 or 6m+5 for any integers m​

Answer 1

Step-by-step explanation:

let the square of any positive integer be in the form 6q+2,6q+5

x=6q+2

squaring both sides

x square=36q square+4+24q

x square=36q square-6+2+24q

x square=6[6q square-1+4q]=m

therefore x=6m+2