Final answer:
The positive value of √30 lies between the numbers 5 and 6, based on the perfect squares closest to 30.The correct answer is D. 5 and 6.
Step-by-step explanation:
The student is asking between which two numbers will the positive value of √30 lie. To find the two numbers between which √30 falls, we need to identify the perfect squares that are closest to 30.
The perfect square lower than 30 is 5², which equals 25. The perfect square higher than 30 is 6², which equals 36.
Since 30 is between 25 and 36, and taking the square roots of these values gives us 5 and 6 respectively, the positive value of √30 will lie between 5 and 6. Therefore, the correct answer is D. 5 and 6.