Question

find two numbers that have square roots between 7 and 8. One number should have a square root closer to 7 and the other number should have a square root closer to 8

Answer 1

$\text{We need to find the two numbers whose squre roots are between 7 and 8}\\ \\ \text{Observe that the square of 7 is 49, that is }7^2=49\\ \\ \text{and the squre of 8 is 64, that is }8^2=64\\ \\ \text{So the required numbers must be between 49 and 64.}$

$\text{now we want one number that have a square root closer to 7.}\\ \text{so one such number could be 50, because }\sqrt{50}\approx 7.071\\ \\ \text{and the other number that have sqare root closer to 8 could be 63.}\\ \text{beceause the square root of 63 is, }\sqrt{63}\approx 7.937$

Two such numbers are: 50 and 63