Question

Find the smallest positive value of the variable so that each of the following represents an integer.

Show a full solution of how it is done please.

Answer 1

a) \[\sqrt{3p-1}\]
b) \[\sqrt{\frac{ y+5 }{ 2 }}\]

Answer 2

a)

\( \sqrt{3p - 1} = 0 \)

\(3p - 1 = 0 \)

\(3p = 1 \)

\( p = \dfrac{1}{3} \)

Answer 3

b)

\( \sqrt{ \dfrac{y + 5}{2} } = 0 \)

\( \dfrac{y + 5}{2} = 0 \)

\( y + 5 = 0 \)

\(y = -5\)

Answer 4

Quick question: how did you get rid of the square root?

Answer 5

Square both sides.