What two whole numbers does each square root lie between? Explain your reasoning.
[size=150][math]\sqrt{7}[/math][/size]
[math]\sqrt{23}[/math]
[math]\sqrt{50}[/math]
[math]\sqrt{98}[/math]
Can we do any better than “between 3 and 4” for [math]\sqrt{12}[/math]? Explain a way to figure out if the value is closer to 3.1 or closer to 3.9.
The numbers x, y, and z are positive, and x²=3, y²=16, and z²=30. Plot x, y, z and -√2 on the number line. Be prepared to share your reasoning with the class.