Since √9 is less than 9, and √1.44 is less than 1.44, a student predicted that √0.0225 would be les than 0.0225. Do you agree with the student's prediction? Explain your reasoning.

Answer 1

In this case, we can see that as the number inside the square root gets smaller, the square root value also decreases. Therefore, since 0.0225 is a smaller number than 1.44 and 9, we can conclude that √0.0225 would indeed be less than 0.0225.

In general, as the input value for a square root function decreases, the output value (the square root) will also decrease. So, the student's prediction is correct in this case.